202120012002000 has 160 divisors (see below), whose sum is σ = 651875693249664. Its totient is φ = 53878754688000.

The previous prime is 202120012001993. The next prime is 202120012002047. The reversal of 202120012002000 is 200210021202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10019860 + ... + 22464140.

Almost surely, 2^{202120012002000} is an apocalyptic number.

202120012002000 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 202120012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325937846624832).

202120012002000 is an abundant number, since it is smaller than the sum of its proper divisors (449755681247664).

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

202120012002000 is a wasteful number, since it uses less digits than its factorization.

202120012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12447014 (or 12446998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202120012002000 its reverse (200210021202), we get a palindrome (202320222023202).

The spelling of 202120012002000 in words is "two hundred two trillion, one hundred twenty billion, twelve million, two thousand".