202001010102112 has 96 divisors (see below), whose sum is σ = 435946451861088. Its totient is φ = 91575548829696.

The previous prime is 202001010102109. The next prime is 202001010102119. The reversal of 202001010102112 is 211201010100202.

202001010102112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 202001010102092 and 202001010102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001010102119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10935193 + ... + 22881880.

It is an arithmetic number, because the mean of its divisors is an integer number (4541108873553).

Almost surely, 2^{202001010102112} is an apocalyptic number.

It is an amenable number.

202001010102112 is an abundant number, since it is smaller than the sum of its proper divisors (233945441758976).

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

202001010102112 is a wasteful number, since it uses less digits than its factorization.

202001010102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33817352 (or 33817344 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202001010102112 its reverse (211201010100202), we get a palindrome (413202020202314).

The spelling of 202001010102112 in words is "two hundred two trillion, one billion, ten million, one hundred two thousand, one hundred twelve".