56001055121100 has 216 divisors, whose sum is σ = 181930232403920. Its totient is φ = 14396699773440.

The previous prime is 56001055121093. The next prime is 56001055121107. The reversal of 56001055121100 is 112155010065.

56001055121100 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 1 + 0 + 551 + 2 + 1 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (56001055121093) and next prime (56001055121107).

It is a super-2 number, since 2×56001055121100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56001055121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4084582 + ... + 11343981.

Almost surely, 2^{56001055121100} is an apocalyptic number.

56001055121100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56001055121100 is an abundant number, since it is smaller than the sum of its proper divisors (125929177282820).

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

56001055121100 is a wasteful number, since it uses less digits than its factorization.

56001055121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15428729 (or 15428719 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 56001055121100 in words is "fifty-six trillion, one billion, fifty-five million, one hundred twenty-one thousand, one hundred".