20127373132100 has 72 divisors (see below), whose sum is σ = 47501827245768. Its totient is φ = 7358064768000.

The previous prime is 20127373132073. The next prime is 20127373132177. The reversal of 20127373132100 is 123137372102.

It can be written as a sum of positive squares in 12 ways, for example, as 4037390974276 + 16089982157824 = 2009326^2 + 4011232^2 .

It is a super-2 number, since 2×20127373132100² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 76515209 + ... + 76777808.

Almost surely, 2^{20127373132100} is an apocalyptic number.

20127373132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20127373132100 is an abundant number, since it is smaller than the sum of its proper divisors (27374454113668).

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

20127373132100 is a wasteful number, since it uses less digits than its factorization.

20127373132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153293145 (or 153293138 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 20127373132100 in words is "twenty trillion, one hundred twenty-seven billion, three hundred seventy-three million, one hundred thirty-two thousand, one hundred".