101020202002112 has 56 divisors (see below), whose sum is σ = 210115718163456. Its totient is φ = 48097354745088.

The previous prime is 101020202002081. The next prime is 101020202002117. The reversal of 101020202002112 is 211200202020101.

101020202002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101020202002117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153545858 + ... + 154202369.

It is an arithmetic number, because the mean of its divisors is an integer number (3752066395776).

Almost surely, 2^{101020202002112} is an apocalyptic number.

It is an amenable number.

101020202002112 is an abundant number, since it is smaller than the sum of its proper divisors (109095516161344).

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

101020202002112 is a wasteful number, since it uses less digits than its factorization.

101020202002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307748485 (or 307748475 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101020202002112 its reverse (211200202020101), we get a palindrome (312220404022213).

The spelling of 101020202002112 in words is "one hundred one trillion, twenty billion, two hundred two million, two thousand, one hundred twelve".