10202100400 has 60 divisors (see below), whose sum is σ = 24846378232. Its totient is φ = 4024926720.

The previous prime is 10202100371. The next prime is 10202100427. The reversal of 10202100400 is 400120201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 145494 + ... + 203893.

Almost surely, 2^10202100400 is an apocalyptic number.

10202100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202100400 is an abundant number, since it is smaller than the sum of its proper divisors (14644277832).

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

10202100400 is a wasteful number, since it uses less digits than its factorization.

10202100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349478 (or 349467 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10202100400 its reverse (400120201), we get a palindrome (10602220601).

The spelling of 10202100400 in words is "ten billion, two hundred two million, one hundred thousand, four hundred".