101005681101 has 96 divisors (see below), whose sum is σ = 166162872960. Its totient is φ = 53914927104.

The previous prime is 101005681099. The next prime is 101005681121. The reversal of 101005681101 is 101186500101.

It is a happy number.

It is not a de Polignac number, because 101005681101 - 2¹ = 101005681099 is a prime.

It is a super-2 number, since 2×101005681101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005681121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17242365 + ... + 17248221.

It is an arithmetic number, because the mean of its divisors is an integer number (1730863260).

Almost surely, 2^101005681101 is an apocalyptic number.

It is an amenable number.

101005681101 is a deficient number, since it is larger than the sum of its proper divisors (65157191859).

101005681101 is a wasteful number, since it uses less digits than its factorization.

101005681101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 24.

The spelling of 101005681101 in words is "one hundred one billion, five million, six hundred eighty-one thousand, one hundred one".