2001302122100 has 36 divisors (see below), whose sum is σ = 4343231809644. Its totient is φ = 800445972480.

The previous prime is 2001302122093. The next prime is 2001302122111. The reversal of 2001302122100 is 12212031002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 392148983524 + 1609153138576 = 626218^2 + 1268524^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144722 + ... + 2005878.

Almost surely, 2^{2001302122100} is an apocalyptic number.

2001302122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001302122100 is an abundant number, since it is smaller than the sum of its proper divisors (2341929687544).

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

2001302122100 is a wasteful number, since it uses less digits than its factorization.

2001302122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871924 (or 1871917 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2001302122100 its reverse (12212031002), we get a palindrome (2013514153102).

The spelling of 2001302122100 in words is "two trillion, one billion, three hundred two million, one hundred twenty-two thousand, one hundred".