101022100021200 has 120 divisors (see below), whose sum is σ = 332353608125728. Its totient is φ = 26211139453440.

The previous prime is 101022100021121. The next prime is 101022100021217. The reversal of 101022100021200 is 2120001220101.

101022100021200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1137591862 + ... + 1137680661.

Almost surely, 2^{101022100021200} is an apocalyptic number.

101022100021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022100021200 is an abundant number, since it is smaller than the sum of its proper divisors (231331508104528).

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

101022100021200 is a wasteful number, since it uses less digits than its factorization.

101022100021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275272581 (or 2275272570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022100021200 its reverse (2120001220101), we get a palindrome (103142101241301).

The spelling of 101022100021200 in words is "one hundred one trillion, twenty-two billion, one hundred million, twenty-one thousand, two hundred".