2200102202000 has 80 divisors (see below), whose sum is σ = 5374691383152. Its totient is φ = 870968217600.

The previous prime is 2200102201981. The next prime is 2200102202009. The reversal of 2200102202000 is 2022010022.

It can be written as a sum of positive squares in 8 ways, for example, as 1312142758144 + 887959443856 = 1145488^2 + 942316^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2200102202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5476367 + ... + 5864366.

Almost surely, 2^{2200102202000} is an apocalyptic number.

2200102202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200102202000 is an abundant number, since it is smaller than the sum of its proper divisors (3174589181152).

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

2200102202000 is a wasteful number, since it uses less digits than its factorization.

2200102202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11340853 (or 11340837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2200102202000 its reverse (2022010022), we get a palindrome (2202124212022).

The spelling of 2200102202000 in words is "two trillion, two hundred billion, one hundred two million, two hundred two thousand".