2002200100100 has 36 divisors (see below), whose sum is σ = 4348114064868. Its totient is φ = 800264400000.

The previous prime is 2002200100099. The next prime is 2002200100133. The reversal of 2002200100100 is 10010022002.

It can be written as a sum of positive squares in 6 ways, for example, as 223220341444 + 1778979758656 = 472462^2 + 1333784^2 .

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, 7564751 + ... + 7824950.

Almost surely, 2^{2002200100100} is an apocalyptic number.

2002200100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002200100100 is an abundant number, since it is smaller than the sum of its proper divisors (2345913964768).

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

2002200100100 is a wasteful number, since it uses less digits than its factorization.

2002200100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15391016 (or 15391009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2002200100100 its reverse (10010022002), we get a palindrome (2012210122102).

The spelling of 2002200100100 in words is "two trillion, two billion, two hundred million, one hundred thousand, one hundred".