202201022101200 has 120 divisors (see below), whose sum is σ = 654394772179008. Its totient is φ = 53364393431040.

The previous prime is 202201022101181. The next prime is 202201022101219. The reversal of 202201022101200 is 2101220102202.

202201022101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202201022101181) and next prime (202201022101219).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202201022101200.

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, 868444692 + ... + 868677491.

Almost surely, 2^{202201022101200} is an apocalyptic number.

202201022101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201022101200 is an abundant number, since it is smaller than the sum of its proper divisors (452193750077808).

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

202201022101200 is a wasteful number, since it uses less digits than its factorization.

202201022101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737122301 (or 1737122290 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202201022101200 its reverse (2101220102202), we get a palindrome (204302242203402).

The spelling of 202201022101200 in words is "two hundred two trillion, two hundred one billion, twenty-two million, one hundred one thousand, two hundred".