101001000109956 has 48 divisors (see below), whose sum is σ = 243980265010944. Its totient is φ = 32499301683456.

The previous prime is 101001000109907. The next prime is 101001000109957. The reversal of 101001000109956 is 659901000100101.

It is a super-2 number, since 2×101001000109956² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101001000109957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1226532715 + ... + 1226615058.

It is an arithmetic number, because the mean of its divisors is an integer number (5082922187728).

Almost surely, 2^{101001000109956} is an apocalyptic number.

It is an amenable number.

101001000109956 is an abundant number, since it is smaller than the sum of its proper divisors (142979264900988).

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

101001000109956 is a wasteful number, since it uses less digits than its factorization.

101001000109956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453147900 (or 2453147898 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 33.

The spelling of 101001000109956 in words is "one hundred one trillion, one billion, one hundred nine thousand, nine hundred fifty-six".