100511655116157 has 16 divisors (see below), whose sum is σ = 149892289215360. Its totient is φ = 66564010008000.

The previous prime is 100511655116153. The next prime is 100511655116219. The reversal of 100511655116157 is 751611556115001.

100511655116157 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 16 + 5 + 5 + 11 + 615 + 7 = 666.

It is not a de Polignac number, because 100511655116157 - 2² = 100511655116153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100511655116153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12326664444 + ... + 12326672597.

It is an arithmetic number, because the mean of its divisors is an integer number (9368268075960).

Almost surely, 2^{100511655116157} is an apocalyptic number.

It is an amenable number.

100511655116157 is a deficient number, since it is larger than the sum of its proper divisors (49380634099203).

100511655116157 is a wasteful number, since it uses less digits than its factorization.

100511655116157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24653337201 (or 24653337195 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 45.

The spelling of 100511655116157 in words is "one hundred trillion, five hundred eleven billion, six hundred fifty-five million, one hundred sixteen thousand, one hundred fifty-seven".