202112002000 has 160 divisors (see below), whose sum is σ = 513998244864. Its totient is φ = 76759488000.

The previous prime is 202112001977. The next prime is 202112002007. The reversal of 202112002000 is 200211202.

202112002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202112002000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3255247 + ... + 3316753.

Almost surely, 2^202112002000 is an apocalyptic number.

202112002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256999122432).

202112002000 is an abundant number, since it is smaller than the sum of its proper divisors (311886242864).

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

202112002000 is a wasteful number, since it uses less digits than its factorization.

202112002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61614 (or 61598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202112002000 its reverse (200211202), we get a palindrome (202312213202).

The spelling of 202112002000 in words is "two hundred two billion, one hundred twelve million, two thousand".