202121210100 has 576 divisors, whose sum is σ = 650973335040. Its totient is φ = 48254976000.

The previous prime is 202121210033. The next prime is 202121210101. The reversal of 202121210100 is 1012121202.

202121210100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121210101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1475337232 + ... + 1475337368.

It is an arithmetic number, because the mean of its divisors is an integer number (1130162040).

Almost surely, 2^202121210100 is an apocalyptic number.

202121210100 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 202121210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325486667520).

202121210100 is an abundant number, since it is smaller than the sum of its proper divisors (448852124940).

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

202121210100 is a wasteful number, since it uses less digits than its factorization.

202121210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202121210100 its reverse (1012121202), we get a palindrome (203133331302).

The spelling of 202121210100 in words is "two hundred two billion, one hundred twenty-one million, two hundred ten thousand, one hundred".