10501056106120 has 32 divisors (see below), whose sum is σ = 24870922358400. Its totient is φ = 3979347576768.

The previous prime is 10501056106111. The next prime is 10501056106153. The reversal of 10501056106120 is 2160165010501.

It is a happy number.

It is a super-2 number, since 2×10501056106120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6908588784 + ... + 6908590303.

It is an arithmetic number, because the mean of its divisors is an integer number (777216323700).

Almost surely, 2^{10501056106120} is an apocalyptic number.

10501056106120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10501056106120 is an abundant number, since it is smaller than the sum of its proper divisors (14369866252280).

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

10501056106120 is a wasteful number, since it uses less digits than its factorization.

10501056106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817179117 (or 13817179113 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 10501056106120 in words is "ten trillion, five hundred one billion, fifty-six million, one hundred six thousand, one hundred twenty".