10012100232000 has 448 divisors, whose sum is σ = 33418361733120. Its totient is φ = 2641105152000.

The previous prime is 10012100231929. The next prime is 10012100232091. The reversal of 10012100232000 is 23200121001.

It is a super-2 number, since 2×10012100232000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 845682081 + ... + 845693919.

It is an arithmetic number, because the mean of its divisors is an integer number (74594557440).

Almost surely, 2^{10012100232000} is an apocalyptic number.

10012100232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012100232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709180866560).

10012100232000 is an abundant number, since it is smaller than the sum of its proper divisors (23406261501120).

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

10012100232000 is a wasteful number, since it uses less digits than its factorization.

10012100232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12247 (or 12227 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10012100232000 its reverse (23200121001), we get a palindrome (10035300353001).

The spelling of 10012100232000 in words is "ten trillion, twelve billion, one hundred million, two hundred thirty-two thousand".