202201122121200 has 90 divisors (see below), whose sum is σ = 701694060751424. Its totient is φ = 53920299231360.

The previous prime is 202201122121091. The next prime is 202201122121291. The reversal of 202201122121200 is 2121221102202.

It is a happy number.

202201122121200 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 1 + 221 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28083485584 + ... + 28083492783.

Almost surely, 2^{202201122121200} is an apocalyptic number.

202201122121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201122121200 is an abundant number, since it is smaller than the sum of its proper divisors (499492938630224).

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

202201122121200 is a wasteful number, since it uses less digits than its factorization.

202201122121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56166978391 (or 56166978377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202201122121200 its reverse (2121221102202), we get a palindrome (204322343223402).

The spelling of 202201122121200 in words is "two hundred two trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".