201121020102112 has 96 divisors (see below), whose sum is σ = 447804893128320. Its totient is φ = 88077269306880.

The previous prime is 201121020102089. The next prime is 201121020102157. The reversal of 201121020102112 is 211201020121102.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 16327398 + ... + 25861669.

It is an arithmetic number, because the mean of its divisors is an integer number (4664634303420).

Almost surely, 2^{201121020102112} is an apocalyptic number.

201121020102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201121020102112 is an abundant number, since it is smaller than the sum of its proper divisors (246683873026208).

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

201121020102112 is a wasteful number, since it uses less digits than its factorization.

201121020102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42189584 (or 42189576 counting only the distinct ones).

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

Adding to 201121020102112 its reverse (211201020121102), we get a palindrome (412322040223214).

The spelling of 201121020102112 in words is "two hundred one trillion, one hundred twenty-one billion, twenty million, one hundred two thousand, one hundred twelve".