202201122212100 has 576 divisors, whose sum is σ = 727196003976960. Its totient is φ = 47772426240000.

The previous prime is 202201122212083. The next prime is 202201122212213. The reversal of 202201122212100 is 1212221102202.

It is a happy number.

202201122212100 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 12 + 221 + 210 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1160380980 + ... + 1160555220.

It is an arithmetic number, because the mean of its divisors is an integer number (1262493062460).

Almost surely, 2^{202201122212100} is an apocalyptic number.

202201122212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202201122212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363598001988480).

202201122212100 is an abundant number, since it is smaller than the sum of its proper divisors (524994881764860).

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

202201122212100 is a wasteful number, since it uses less digits than its factorization.

202201122212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175269 (or 175256 counting only the distinct ones).

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

Adding to 202201122212100 its reverse (1212221102202), we get a palindrome (203413343314302).

The spelling of 202201122212100 in words is "two hundred two trillion, two hundred one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".