202101311100 has 288 divisors, whose sum is σ = 640637496576. Its totient is φ = 48893644800.

The previous prime is 202101311077. The next prime is 202101311117. The reversal of 202101311100 is 1113101202.

202101311100 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54664452 + ... + 54668148.

It is an arithmetic number, because the mean of its divisors is an integer number (2224435752).

Almost surely, 2^202101311100 is an apocalyptic number.

202101311100 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 202101311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320318748288).

202101311100 is an abundant number, since it is smaller than the sum of its proper divisors (438536185476).

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

202101311100 is a wasteful number, since it uses less digits than its factorization.

202101311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3958 counting only the distinct ones).

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

Adding to 202101311100 its reverse (1113101202), we get a palindrome (203214412302).

The spelling of 202101311100 in words is "two hundred two billion, one hundred one million, three hundred eleven thousand, one hundred".