10100210133200 has 120 divisors (see below), whose sum is σ = 26532873204096. Its totient is φ = 3664320768000.

The previous prime is 10100210133151. The next prime is 10100210133217. The reversal of 10100210133200 is 233101200101.

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, 745496 + ... + 4555895.

Almost surely, 2^{10100210133200} is an apocalyptic number.

10100210133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100210133200 is an abundant number, since it is smaller than the sum of its proper divisors (16432663070896).

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

10100210133200 is a wasteful number, since it uses less digits than its factorization.

10100210133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301853 (or 5301842 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10100210133200 its reverse (233101200101), we get a palindrome (10333311333301).

The spelling of 10100210133200 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred thirty-three thousand, two hundred".