202101010112100 has 72 divisors (see below), whose sum is σ = 637904279200608. Its totient is φ = 48994184268800.

The previous prime is 202101010112087. The next prime is 202101010112107. The reversal of 202101010112100 is 1211010101202.

202101010112100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202101010112100² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (202101010112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30621361869 + ... + 30621368468.

It is an arithmetic number, because the mean of its divisors is an integer number (8859781655564).

Almost surely, 2^{202101010112100} is an apocalyptic number.

202101010112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101010112100 is an abundant number, since it is smaller than the sum of its proper divisors (435803269088508).

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

202101010112100 is a wasteful number, since it uses less digits than its factorization.

202101010112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61242730365 (or 61242730358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 202101010112100 its reverse (1211010101202), we get a palindrome (203312020213302).

The spelling of 202101010112100 in words is "two hundred two trillion, one hundred one billion, ten million, one hundred twelve thousand, one hundred".