202201212202200 has 72 divisors (see below), whose sum is σ = 679059070985100. Its totient is φ = 53920323253440.

The previous prime is 202201212202151. The next prime is 202201212202259. The reversal of 202201212202200 is 2202212102202.

202201212202200 is a `hidden beast` number, since 2 + 0 + 2 + 201 + 21 + 220 + 220 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×202201212202200² (a number of 29 digits) contains 22 as substring.

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, 56167001590 + ... + 56167005189.

Almost surely, 2^{202201212202200} is an apocalyptic number.

202201212202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201212202200 is an abundant number, since it is smaller than the sum of its proper divisors (476857858782900).

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

202201212202200 is a wasteful number, since it uses less digits than its factorization.

202201212202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112334006801 (or 112334006789 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202201212202200 its reverse (2202212102202), we get a palindrome (204403424304402).

The spelling of 202201212202200 in words is "two hundred two trillion, two hundred one billion, two hundred twelve million, two hundred two thousand, two hundred".