10115010100656 has 80 divisors (see below), whose sum is σ = 29171426619520. Its totient is φ = 3355690524480.

The previous prime is 10115010100631. The next prime is 10115010100661. The reversal of 10115010100656 is 65600101051101.

10115010100656 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 0 + 1 + 0 + 1 + 0 + 0 + 656 = 666.

10115010100656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55393150 + ... + 55575453.

It is an arithmetic number, because the mean of its divisors is an integer number (364642832744).

Almost surely, 2^{10115010100656} is an apocalyptic number.

10115010100656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10115010100656 is an abundant number, since it is smaller than the sum of its proper divisors (19056416518864).

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

10115010100656 is a wasteful number, since it uses less digits than its factorization.

10115010100656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110968831 (or 110968819 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 10115010100656 its reverse (65600101051101), we get a palindrome (75715111151757).

The spelling of 10115010100656 in words is "ten trillion, one hundred fifteen billion, ten million, one hundred thousand, six hundred fifty-six".