10102402400 has 72 divisors (see below), whose sum is σ = 24678514224. Its totient is φ = 4038336000.

The previous prime is 10102402393. The next prime is 10102402423. The reversal of 10102402400 is 420420101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1639325 + ... + 1645475.

It is an arithmetic number, because the mean of its divisors is an integer number (342757142).

Almost surely, 2^10102402400 is an apocalyptic number.

10102402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102402400 is an abundant number, since it is smaller than the sum of its proper divisors (14576111824).

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

10102402400 is a wasteful number, since it uses less digits than its factorization.

10102402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10102402400 its reverse (420420101), we get a palindrome (10522822501).

The spelling of 10102402400 in words is "ten billion, one hundred two million, four hundred two thousand, four hundred".