100116505016051 has 16 divisors (see below), whose sum is σ = 106303085030208. Its totient is φ = 94086312566400.

The previous prime is 100116505016029. The next prime is 100116505016057. The reversal of 100116505016051 is 150610505611001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100116505016051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100116505015999 and 100116505016017.

It is not an unprimeable number, because it can be changed into a prime (100116505016057) 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, 39453080 + ... + 41913941.

It is an arithmetic number, because the mean of its divisors is an integer number (6643942814388).

Almost surely, 2^{100116505016051} is an apocalyptic number.

100116505016051 is a deficient number, since it is larger than the sum of its proper divisors (6186580014157).

100116505016051 is an equidigital number, since it uses as much as digits as its factorization.

100116505016051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81367982.

The product of its (nonzero) digits is 4500, while the sum is 32.

The spelling of 100116505016051 in words is "one hundred trillion, one hundred sixteen billion, five hundred five million, sixteen thousand, fifty-one".