112202120101122 has 12 divisors (see below), whose sum is σ = 243104593552470. Its totient is φ = 37400706700368.

The previous prime is 112202120101121. The next prime is 112202120101157. The reversal of 112202120101122 is 221101021202211.

112202120101122 is a `hidden beast` number, since 11 + 220 + 212 + 0 + 101 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100224505865961 + 11977614235161 = 10011219^2 + 3460869^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6233451116729 = 112202120101122 / (1 + 1 + 2 + 2 + 0 + 2 + 1 + 2 + 0 + 1 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 112202120101095 and 112202120101104.

It is not an unprimeable number, because it can be changed into a prime (112202120101121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3116725558347 + ... + 3116725558382.

Almost surely, 2^{112202120101122} is an apocalyptic number.

112202120101122 is an abundant number, since it is smaller than the sum of its proper divisors (130902473451348).

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

112202120101122 is a wasteful number, since it uses less digits than its factorization.

112202120101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233451116737 (or 6233451116734 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112202120101122 its reverse (221101021202211), we get a palindrome (333303141303333).

The spelling of 112202120101122 in words is "one hundred twelve trillion, two hundred two billion, one hundred twenty million, one hundred one thousand, one hundred twenty-two".