112210022202100 has 72 divisors (see below), whose sum is σ = 258209073983448. Its totient is φ = 42179863756800.

The previous prime is 112210022202079. The next prime is 112210022202119. The reversal of 112210022202100 is 1202220012211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8867793117456 + 103342229084644 = 2977884^2 + 10165738^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48805117 + ... + 51052516.

It is an arithmetic number, because the mean of its divisors is an integer number (3586237138659).

Almost surely, 2^{112210022202100} is an apocalyptic number.

112210022202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210022202100 is an abundant number, since it is smaller than the sum of its proper divisors (145999051781348).

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

112210022202100 is a wasteful number, since it uses less digits than its factorization.

112210022202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99858325 (or 99858318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112210022202100 its reverse (1202220012211), we get a palindrome (113412242214311).

The spelling of 112210022202100 in words is "one hundred twelve trillion, two hundred ten billion, twenty-two million, two hundred two thousand, one hundred".