10002251400 has 96 divisors (see below), whose sum is σ = 31033951200. Its totient is φ = 2664947200.

The previous prime is 10002251381. The next prime is 10002251417. The reversal of 10002251400 is 415220001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10002251400.

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, 748780 + ... + 762020.

It is an arithmetic number, because the mean of its divisors is an integer number (323270325).

Almost surely, 2^10002251400 is an apocalyptic number.

10002251400 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 10002251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516975600).

10002251400 is an abundant number, since it is smaller than the sum of its proper divisors (21031699800).

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

10002251400 is a wasteful number, since it uses less digits than its factorization.

10002251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14519 (or 14510 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10002251400 its reverse (415220001), we get a palindrome (10417471401).

The spelling of 10002251400 in words is "ten billion, two million, two hundred fifty-one thousand, four hundred".