112102210201120 has 48 divisors (see below), whose sum is σ = 264842844798168. Its totient is φ = 44840651581440.

The previous prime is 112102210201063. The next prime is 112102210201129. The reversal of 112102210201120 is 21102012201211.

It can be written as a sum of positive squares in 4 ways, for example, as 85103503224336 + 26998706976784 = 9225156^2 + 5196028^2 .

It is a super-3 number, since 3×112102210201120³ (a number of 43 digits) contains 333 as substring.

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 = 112102210201094 and 112102210201103.

It is not an unprimeable number, because it can be changed into a prime (112102210201129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30983542 + ... + 34411978.

Almost surely, 2^{112102210201120} is an apocalyptic number.

112102210201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112102210201120 is an abundant number, since it is smaller than the sum of its proper divisors (152740634597048).

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

112102210201120 is a wasteful number, since it uses less digits than its factorization.

112102210201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632813 (or 3632805 counting only the distinct ones).

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

Adding to 112102210201120 its reverse (21102012201211), we get a palindrome (133204222402331).

The spelling of 112102210201120 in words is "one hundred twelve trillion, one hundred two billion, two hundred ten million, two hundred one thousand, one hundred twenty".