52042112012100 has 144 divisors (see below), whose sum is σ = 176087915429888. Its totient is φ = 11618704056960.

The previous prime is 52042112012089. The next prime is 52042112012117. The reversal of 52042112012100 is 121021124025.

It is a super-2 number, since 2×52042112012100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288072004 + ... + 288252603.

Almost surely, 2^{52042112012100} is an apocalyptic number.

52042112012100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52042112012100 is an abundant number, since it is smaller than the sum of its proper divisors (124045803417788).

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

52042112012100 is a wasteful number, since it uses less digits than its factorization.

52042112012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576324674 (or 576324667 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 52042112012100 its reverse (121021124025), we get a palindrome (52163133136125).

It can be divided in two parts, 520421 and 12012100, that added together give a triangular number (12532521 = T₅₀₀₆).

The spelling of 52042112012100 in words is "fifty-two trillion, forty-two billion, one hundred twelve million, twelve thousand, one hundred".