10021200112100 has 72 divisors (see below), whose sum is σ = 22827360705408. Its totient is φ = 3811238886400.

The previous prime is 10021200112097. The next prime is 10021200112199. The reversal of 10021200112100 is 121100212001.

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, 12660941 + ... + 13429140.

It is an arithmetic number, because the mean of its divisors is an integer number (317046676464).

Almost surely, 2^{10021200112100} is an apocalyptic number.

10021200112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021200112100 is an abundant number, since it is smaller than the sum of its proper divisors (12806160593308).

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

10021200112100 is a wasteful number, since it uses less digits than its factorization.

10021200112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26090285 (or 26090278 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10021200112100 its reverse (121100212001), we get a palindrome (10142300324101).

Subtracting from 10021200112100 its reverse (121100212001), we obtain a palindrome (9900099900099).

The spelling of 10021200112100 in words is "ten trillion, twenty-one billion, two hundred million, one hundred twelve thousand, one hundred".