112101202122100 has 18 divisors (see below), whose sum is σ = 243259608605174. Its totient is φ = 44840480848800.

The previous prime is 112101202122079. The next prime is 112101202122131. The reversal of 112101202122100 is 1221202101211.

It can be written as a sum of positive squares in 3 ways, for example, as 12365547195024 + 99735654927076 = 3516468^2 + 9986774^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560506010511 + ... + 560506010710.

Almost surely, 2^{112101202122100} is an apocalyptic number.

112101202122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101202122100 is an abundant number, since it is smaller than the sum of its proper divisors (131158406483074).

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

112101202122100 is a wasteful number, since it uses less digits than its factorization.

112101202122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121012021235 (or 1121012021228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112101202122100 its reverse (1221202101211), we get a palindrome (113322404223311).

The spelling of 112101202122100 in words is "one hundred twelve trillion, one hundred one billion, two hundred two million, one hundred twenty-two thousand, one hundred".