10012102400 has 216 divisors, whose sum is σ = 27386934624. Its totient is φ = 3604480000.

The previous prime is 10012102393. The next prime is 10012102483. The reversal of 10012102400 is 420121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2500400 + ... + 2504400.

It is an arithmetic number, because the mean of its divisors is an integer number (126791364).

Almost surely, 2^10012102400 is an apocalyptic number.

10012102400 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 10012102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693467312).

10012102400 is an abundant number, since it is smaller than the sum of its proper divisors (17374832224).

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

10012102400 is a wasteful number, since it uses less digits than its factorization.

10012102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10012102400 its reverse (420121001), we get a palindrome (10432223401).

The spelling of 10012102400 in words is "ten billion, twelve million, one hundred two thousand, four hundred".