201220101002112 has 128 divisors (see below), whose sum is σ = 568279802138400. Its totient is φ = 62865932943360.

The previous prime is 201220101002017. The next prime is 201220101002147. The reversal of 201220101002112 is 211200101022102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 201220101002091 and 201220101002100.

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, 62377287 + ... + 65523782.

Almost surely, 2^{201220101002112} is an apocalyptic number.

It is an amenable number.

201220101002112 is an abundant number, since it is smaller than the sum of its proper divisors (367059701136288).

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

201220101002112 is a wasteful number, since it uses less digits than its factorization.

201220101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127901344 (or 127901332 counting only the distinct ones).

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

Adding to 201220101002112 its reverse (211200101022102), we get a palindrome (412420202024214).

The spelling of 201220101002112 in words is "two hundred one trillion, two hundred twenty billion, one hundred one million, two thousand, one hundred twelve".