202101203312100 has 432 divisors, whose sum is σ = 667621918629120. Its totient is φ = 53021949926400.

The previous prime is 202101203312089. The next prime is 202101203312117. The reversal of 202101203312100 is 1213302101202.

202101203312100 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 0 + 120 + 331 + 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 143 ways as a sum of consecutive naturals, for example, 539248374 + ... + 539623026.

Almost surely, 2^{202101203312100} is an apocalyptic number.

202101203312100 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 202101203312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333810959314560).

202101203312100 is an abundant number, since it is smaller than the sum of its proper divisors (465520715317020).

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

202101203312100 is a wasteful number, since it uses less digits than its factorization.

202101203312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375042 (or 375023 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202101203312100 its reverse (1213302101202), we get a palindrome (203314505413302).

The spelling of 202101203312100 in words is "two hundred two trillion, one hundred one billion, two hundred three million, three hundred twelve thousand, one hundred".