22000200020100 has 108 divisors (see below), whose sum is σ = 71336280839460. Its totient is φ = 5664419308800.

The previous prime is 22000200020093. The next prime is 22000200020107. The reversal of 22000200020100 is 102000200022.

It is an interprime number because it is at equal distance from previous prime (22000200020093) and next prime (22000200020107).

It can be written as a sum of positive squares in 6 ways, for example, as 5106768353856 + 16893431666244 = 2259816^2 + 4110162^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22000200020107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 421433671 + ... + 421485870.

Almost surely, 2^{22000200020100} is an apocalyptic number.

22000200020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000200020100 is an abundant number, since it is smaller than the sum of its proper divisors (49336080819360).

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

22000200020100 is a wasteful number, since it uses less digits than its factorization.

22000200020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842919590 (or 842919580 counting only the distinct ones).

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

Adding to 22000200020100 its reverse (102000200022), we get a palindrome (22102200220122).

The spelling of 22000200020100 in words is "twenty-two trillion, two hundred million, twenty thousand, one hundred".