112102012102100 has 36 divisors (see below), whose sum is σ = 243261859215900. Its totient is φ = 44840713973760.

The previous prime is 112102012102063. The next prime is 112102012102121. The reversal of 112102012102100 is 1201210201211.

It can be written as a sum of positive squares in 6 ways, for example, as 406959788356 + 111695052313744 = 637934^2 + 10568588^2 .

It is a super-2 number, since 2×112102012102100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 71687366 + ... + 73234434.

Almost surely, 2^{112102012102100} is an apocalyptic number.

112102012102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112102012102100 is an abundant number, since it is smaller than the sum of its proper divisors (131159847113800).

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

112102012102100 is a wasteful number, since it uses less digits than its factorization.

112102012102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271692 (or 2271685 counting only the distinct ones).

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

Adding to 112102012102100 its reverse (1201210201211), we get a palindrome (113303222303311).

The spelling of 112102012102100 in words is "one hundred twelve trillion, one hundred two billion, twelve million, one hundred two thousand, one hundred".