112101202201120 has 96 divisors (see below), whose sum is σ = 288966235440960. Its totient is φ = 40756896906240.

The previous prime is 112101202201103. The next prime is 112101202201123. The reversal of 112101202201120 is 21102202101211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112101202201094 and 112101202201103.

It is not an unprimeable number, because it can be changed into a prime (112101202201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4398186 + ... + 15605974.

It is an arithmetic number, because the mean of its divisors is an integer number (3010064952510).

Almost surely, 2^{112101202201120} is an apocalyptic number.

112101202201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101202201120 is an abundant number, since it is smaller than the sum of its proper divisors (176865033239840).

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

112101202201120 is a wasteful number, since it uses less digits than its factorization.

112101202201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213498 (or 11213490 counting only the distinct ones).

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

Adding to 112101202201120 its reverse (21102202101211), we get a palindrome (133203404302331).

Subtracting from 112101202201120 its reverse (21102202101211), we obtain a palindrome (90999000099909).

The spelling of 112101202201120 in words is "one hundred twelve trillion, one hundred one billion, two hundred two million, two hundred one thousand, one hundred twenty".