12510217838100 has 72 divisors (see below), whose sum is σ = 37769979441600. Its totient is φ = 3191012084480.

The previous prime is 12510217838071. The next prime is 12510217838113. The reversal of 12510217838100 is 183871201521.

It is a super-2 number, since 2×12510217838100² (a number of 27 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906530625 + ... + 906544424.

It is an arithmetic number, because the mean of its divisors is an integer number (524583047800).

Almost surely, 2^{12510217838100} is an apocalyptic number.

12510217838100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12510217838100 is an abundant number, since it is smaller than the sum of its proper divisors (25259761603500).

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

12510217838100 is a wasteful number, since it uses less digits than its factorization.

12510217838100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813075089 (or 1813075082 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 12510217838100 in words is "twelve trillion, five hundred ten billion, two hundred seventeen million, eight hundred thirty-eight thousand, one hundred".