10511767122117 has 16 divisors (see below), whose sum is σ = 14021919904512. Its totient is φ = 7004729926080.

The previous prime is 10511767122091. The next prime is 10511767122119. The reversal of 10511767122117 is 71122176711501.

It is not a de Polignac number, because 10511767122117 - 2³⁸ = 10236889215173 is a prime.

It is a super-2 number, since 2×10511767122117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511767122119) 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, 139115367 + ... + 139190907.

It is an arithmetic number, because the mean of its divisors is an integer number (876369994032).

Almost surely, 2^{10511767122117} is an apocalyptic number.

It is an amenable number.

10511767122117 is a deficient number, since it is larger than the sum of its proper divisors (3510152782395).

10511767122117 is a wasteful number, since it uses less digits than its factorization.

10511767122117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95548.

The product of its (nonzero) digits is 41160, while the sum is 42.

The spelling of 10511767122117 in words is "ten trillion, five hundred eleven billion, seven hundred sixty-seven million, one hundred twenty-two thousand, one hundred seventeen".