2022200002100 has 72 divisors (see below), whose sum is σ = 4656470638680. Its totient is φ = 759632670720.

The previous prime is 2022200002091. The next prime is 2022200002139. The reversal of 2022200002100 is 12000022202.

It can be written as a sum of positive squares in 12 ways, for example, as 145004070436 + 1877195931664 = 380794^2 + 1370108^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524555 + ... + 2078354.

It is an arithmetic number, because the mean of its divisors is an integer number (64673203315).

Almost surely, 2^{2022200002100} is an apocalyptic number.

2022200002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022200002100 is an abundant number, since it is smaller than the sum of its proper divisors (2634270636580).

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

2022200002100 is a wasteful number, since it uses less digits than its factorization.

2022200002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603397 (or 2603390 counting only the distinct ones).

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

Adding to 2022200002100 its reverse (12000022202), we get a palindrome (2034200024302).

The spelling of 2022200002100 in words is "two trillion, twenty-two billion, two hundred million, two thousand, one hundred".