100101202202112 has 80 divisors (see below), whose sum is σ = 266841194708880. Its totient is φ = 33346380234752.

The previous prime is 100101202202093. The next prime is 100101202202153. The reversal of 100101202202112 is 211202202101001.

It is a super-2 number, since 2×100101202202112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100101202202091 and 100101202202100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17723937 + ... + 22679072.

It is an arithmetic number, because the mean of its divisors is an integer number (3335514933861).

Almost surely, 2^{100101202202112} is an apocalyptic number.

100101202202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101202202112 is an abundant number, since it is smaller than the sum of its proper divisors (166739992506768).

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

100101202202112 is an equidigital number, since it uses as much as digits as its factorization.

100101202202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40404643 (or 40404627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100101202202112 its reverse (211202202101001), we get a palindrome (311303404303113).

The spelling of 100101202202112 in words is "one hundred trillion, one hundred one billion, two hundred two million, two hundred two thousand, one hundred twelve".