2000202002100 has 108 divisors (see below), whose sum is σ = 6638317518924. Its totient is φ = 502011479040.

The previous prime is 2000202002089. The next prime is 2000202002147. The reversal of 2000202002100 is 12002020002.

It can be written as a sum of positive squares in 6 ways, for example, as 55833909264 + 1944368092836 = 236292^2 + 1394406^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65350779 + ... + 65381378.

It is an arithmetic number, because the mean of its divisors is an integer number (61465902953).

Almost surely, 2^{2000202002100} is an apocalyptic number.

2000202002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000202002100 is an abundant number, since it is smaller than the sum of its proper divisors (4638115516824).

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

2000202002100 is a wasteful number, since it uses less digits than its factorization.

2000202002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130732194 (or 130732184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2000202002100 its reverse (12002020002), we get a palindrome (2012204022102).

The spelling of 2000202002100 in words is "two trillion, two hundred two million, two thousand, one hundred".