202020211122100 has 576 divisors, whose sum is σ = 526935793950720. Its totient is φ = 65789737574400.

The previous prime is 202020211122089. The next prime is 202020211122151. The reversal of 202020211122100 is 1221112020202.

It is a happy number.

It is a super-2 number, since 2×202020211122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 200218246396 + ... + 200218247404.

It is an arithmetic number, because the mean of its divisors is an integer number (914819086720).

Almost surely, 2^{202020211122100} is an apocalyptic number.

202020211122100 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 202020211122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263467896975360).

202020211122100 is an abundant number, since it is smaller than the sum of its proper divisors (324915582828620).

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

202020211122100 is a wasteful number, since it uses less digits than its factorization.

202020211122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202020211122100 its reverse (1221112020202), we get a palindrome (203241323142302).

The spelling of 202020211122100 in words is "two hundred two trillion, twenty billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".