202000102020112 has 40 divisors (see below), whose sum is σ = 449426064310560. Its totient is φ = 86985689863680.

The previous prime is 202000102020053. The next prime is 202000102020113. The reversal of 202000102020112 is 211020201000202.

It is a happy number.

It is a super-2 number, since 2×202000102020112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202000102020092 and 202000102020101.

It is not an unprimeable number, because it can be changed into a prime (202000102020113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30203361193 + ... + 30203367880.

It is an arithmetic number, because the mean of its divisors is an integer number (11235651607764).

Almost surely, 2^{202000102020112} is an apocalyptic number.

202000102020112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

202000102020112 is an abundant number, since it is smaller than the sum of its proper divisors (247425962290448).

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

202000102020112 is a wasteful number, since it uses less digits than its factorization.

202000102020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60406729111 (or 60406729105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202000102020112 its reverse (211020201000202), we get a palindrome (413020303020314).

The spelling of 202000102020112 in words is "two hundred two trillion, one hundred two million, twenty thousand, one hundred twelve".