100111061001051 has 8 divisors (see below), whose sum is σ = 148312682964560. Its totient is φ = 66740707334016.

The previous prime is 100111061001047. The next prime is 100111061001053. The reversal of 100111061001051 is 150100160111001.

It is a happy number.

100111061001051 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 1 + 0 + 610 + 0 + 1 + 0 + 51 = 666.

It is not a de Polignac number, because 100111061001051 - 2² = 100111061001047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111061001053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1853908537030 + ... + 1853908537083.

It is an arithmetic number, because the mean of its divisors is an integer number (18539085370570).

Almost surely, 2^{100111061001051} is an apocalyptic number.

100111061001051 is a deficient number, since it is larger than the sum of its proper divisors (48201621963509).

100111061001051 is an equidigital number, since it uses as much as digits as its factorization.

100111061001051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707817074122 (or 3707817074116 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 100111061001051 in words is "one hundred trillion, one hundred eleven billion, sixty-one million, one thousand, fifty-one".