10012102221100 has 72 divisors (see below), whose sum is σ = 24830820725760. Its totient is φ = 3432609165120.

The previous prime is 10012102221029. The next prime is 10012102221113. The reversal of 10012102221100 is 112220121001.

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, 22967367 + ... + 23399233.

It is an arithmetic number, because the mean of its divisors is an integer number (344872510080).

Almost surely, 2^{10012102221100} is an apocalyptic number.

10012102221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012102221100 is an abundant number, since it is smaller than the sum of its proper divisors (14818718504660).

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

10012102221100 is a wasteful number, since it uses less digits than its factorization.

10012102221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465007 (or 465000 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012102221100 its reverse (112220121001), we get a palindrome (10124322342101).

The spelling of 10012102221100 in words is "ten trillion, twelve billion, one hundred two million, two hundred twenty-one thousand, one hundred".