202220112122100 has 360 divisors, whose sum is σ = 692703679335360. Its totient is φ = 50888393441280.

The previous prime is 202220112122089. The next prime is 202220112122131. The reversal of 202220112122100 is 1221211022202.

It is a happy number.

202220112122100 is a `hidden beast` number, since 20 + 2 + 220 + 1 + 1 + 212 + 210 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 36995937 + ... + 42108663.

Almost surely, 2^{202220112122100} is an apocalyptic number.

202220112122100 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 202220112122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346351839667680).

202220112122100 is an abundant number, since it is smaller than the sum of its proper divisors (490483567213260).

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

202220112122100 is a wasteful number, since it uses less digits than its factorization.

202220112122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113029 (or 5113013 counting only the distinct ones).

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

Adding to 202220112122100 its reverse (1221211022202), we get a palindrome (203441323144302).

The spelling of 202220112122100 in words is "two hundred two trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".