101681811 has 120 divisors (see below), whose sum is σ = 205585776. Its totient is φ = 49351680.

The previous prime is 101681771. The next prime is 101681819. The reversal of 101681811 is 118186101.

It is not a de Polignac number, because 101681811 - 2⁷ = 101681683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101681819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 742135 + ... + 742271.

Almost surely, 2^101681811 is an apocalyptic number.

101681811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101681811 is an abundant number, since it is smaller than the sum of its proper divisors (103903965).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101681811 is a wasteful number, since it uses less digits than its factorization.

101681811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

The square root of 101681811 is about 10083.7399311962. The cubic root of 101681811 is about 466.7465224454.

The spelling of 101681811 in words is "one hundred one million, six hundred eighty-one thousand, eight hundred eleven".