202120211210100 has 288 divisors, whose sum is σ = 600589965115392. Its totient is φ = 52466356800000.

The previous prime is 202120211210081. The next prime is 202120211210171. The reversal of 202120211210100 is 1012112021202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202120211210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 579529770 + ... + 579878430.

Almost surely, 2^{202120211210100} is an apocalyptic number.

202120211210100 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 202120211210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300294982557696).

202120211210100 is an abundant number, since it is smaller than the sum of its proper divisors (398469753905292).

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

202120211210100 is a wasteful number, since it uses less digits than its factorization.

202120211210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349087 (or 349080 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202120211210100 its reverse (1012112021202), we get a palindrome (203132323231302).

The spelling of 202120211210100 in words is "two hundred two trillion, one hundred twenty billion, two hundred eleven million, two hundred ten thousand, one hundred".