201012122000112 has 80 divisors (see below), whose sum is σ = 519998883477120. Its totient is φ = 66911456422656.

The previous prime is 201012122000087. The next prime is 201012122000159. The reversal of 201012122000112 is 211000221210102.

It is a junction number, because it is equal to n+sod(n) for n = 201012122000091 and 201012122000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1805220823 + ... + 1805332169.

It is an arithmetic number, because the mean of its divisors is an integer number (6499986043464).

Almost surely, 2^{201012122000112} is an apocalyptic number.

It is an amenable number.

201012122000112 is an abundant number, since it is smaller than the sum of its proper divisors (318986761477008).

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

201012122000112 is a wasteful number, since it uses less digits than its factorization.

201012122000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162990 (or 162984 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201012122000112 its reverse (211000221210102), we get a palindrome (412012343210214).

The spelling of 201012122000112 in words is "two hundred one trillion, twelve billion, one hundred twenty-two million, one hundred twelve", and thus it is an aban number.