202101112221200 has 30 divisors (see below), whose sum is σ = 485547922112394. Its totient is φ = 80840444888320.

The previous prime is 202101112221191. The next prime is 202101112221251. The reversal of 202101112221200 is 2122211101202.

It can be written as a sum of positive squares in 3 ways, for example, as 22619574048016 + 179481538173184 = 4756004^2 + 13397072^2 .

It is a super-2 number, since 2×202101112221200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252626389877 + ... + 252626390676.

Almost surely, 2^{202101112221200} is an apocalyptic number.

202101112221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101112221200 is an abundant number, since it is smaller than the sum of its proper divisors (283446809891194).

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

202101112221200 is a wasteful number, since it uses less digits than its factorization.

202101112221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505252780571 (or 505252780560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202101112221200 its reverse (2122211101202), we get a palindrome (204223323322402).

The spelling of 202101112221200 in words is "two hundred two trillion, one hundred one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".