112202100101120 has 104 divisors (see below), whose sum is σ = 285090532273224. Its totient is φ = 42240790495232.

The previous prime is 112202100101101. The next prime is 112202100101123. The reversal of 112202100101120 is 21101001202211.

It can be written as a sum of positive squares in 4 ways, for example, as 3093546287104 + 109108553814016 = 1758848^2 + 10445504^2 .

It is a super-2 number, since 2×112202100101120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112202100101095 and 112202100101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202100101123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160787669 + ... + 161483988.

Almost surely, 2^{112202100101120} is an apocalyptic number.

112202100101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112202100101120 is an abundant number, since it is smaller than the sum of its proper divisors (172888432172104).

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

112202100101120 is an equidigital number, since it uses as much as digits as its factorization.

112202100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322271703 (or 322271681 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112202100101120 its reverse (21101001202211), we get a palindrome (133303101303331).

The spelling of 112202100101120 in words is "one hundred twelve trillion, two hundred two billion, one hundred million, one hundred one thousand, one hundred twenty".