100111000009976 has 256 divisors, whose sum is σ = 211600681205760. Its totient is φ = 44181636986880.

The previous prime is 100111000009939. The next prime is 100111000009997. The reversal of 100111000009976 is 679900000111001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8703028241 + ... + 8703039743.

It is an arithmetic number, because the mean of its divisors is an integer number (826565160960).

Almost surely, 2^{100111000009976} is an apocalyptic number.

It is an amenable number.

100111000009976 is an abundant number, since it is smaller than the sum of its proper divisors (111489681195784).

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

100111000009976 is a wasteful number, since it uses less digits than its factorization.

100111000009976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12034 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 35.

The spelling of 100111000009976 in words is "one hundred trillion, one hundred eleven billion, nine thousand, nine hundred seventy-six".