112101102122000 has 40 divisors (see below), whose sum is σ = 271060464935832. Its totient is φ = 44840440848000.

The previous prime is 112101102121997. The next prime is 112101102122041. The reversal of 112101102122000 is 221201101211.

It can be written as a sum of positive squares in 4 ways, for example, as 23643089357056 + 88458012764944 = 4862416^2 + 9405212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 28025273531 + ... + 28025277530.

Almost surely, 2^{112101102122000} is an apocalyptic number.

112101102122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101102122000 is an abundant number, since it is smaller than the sum of its proper divisors (158959362813832).

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

112101102122000 is an equidigital number, since it uses as much as digits as its factorization.

112101102122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56050551084 (or 56050551068 counting only the distinct ones).

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

Adding to 112101102122000 its reverse (221201101211), we get a palindrome (112322303223211).

The spelling of 112101102122000 in words is "one hundred twelve trillion, one hundred one billion, one hundred two million, one hundred twenty-two thousand".