5100105111011 has 16 divisors (see below), whose sum is σ = 5120269851360. Its totient is φ = 5079983731200.

The previous prime is 5100105110981. The next prime is 5100105111131. The reversal of 5100105111011 is 1101115010015.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5100105111011 is a prime.

It is a super-2 number, since 2×5100105111011² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5100105111611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208840060 + ... + 1208844278.

It is an arithmetic number, because the mean of its divisors is an integer number (320016865710).

Almost surely, 2^{5100105111011} is an apocalyptic number.

5100105111011 is a deficient number, since it is larger than the sum of its proper divisors (20164740349).

5100105111011 is a wasteful number, since it uses less digits than its factorization.

5100105111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294.

The product of its (nonzero) digits is 25, while the sum is 17.

The spelling of 5100105111011 in words is "five trillion, one hundred billion, one hundred five million, one hundred eleven thousand, eleven".