202112100102 has 64 divisors (see below), whose sum is σ = 445588915968. Its totient is φ = 60605520000.

The previous prime is 202112100083. The next prime is 202112100109. The reversal of 202112100102 is 201001211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112100109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13397788 + ... + 13412864.

It is an arithmetic number, because the mean of its divisors is an integer number (6962326812).

Almost surely, 2^202112100102 is an apocalyptic number.

202112100102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202112100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222794457984).

202112100102 is an abundant number, since it is smaller than the sum of its proper divisors (243476815866).

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

202112100102 is a wasteful number, since it uses less digits than its factorization.

202112100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17205.

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

Adding to 202112100102 its reverse (201001211202), we get a palindrome (403113311304).

Subtracting from 202112100102 its reverse (201001211202), we obtain a square (1110888900 = 33330²).

The spelling of 202112100102 in words is "two hundred two billion, one hundred twelve million, one hundred thousand, one hundred two".