5100106111000 has 64 divisors (see below), whose sum is σ = 11937265966080. Its totient is φ = 2039526604800.

The previous prime is 5100106110973. The next prime is 5100106111019. The reversal of 5100106111000 is 1116010015.

It is a super-2 number, since 2×5100106111000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3324184 + ... + 4609816.

It is an arithmetic number, because the mean of its divisors is an integer number (186519780720).

Almost surely, 2^{5100106111000} is an apocalyptic number.

5100106111000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5100106111000 is an abundant number, since it is smaller than the sum of its proper divisors (6837159855080).

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

5100106111000 is a wasteful number, since it uses less digits than its factorization.

5100106111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289621 (or 1289607 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

The spelling of 5100106111000 in words is "five trillion, one hundred billion, one hundred six million, one hundred eleven thousand".