22100202000 has 200 divisors, whose sum is σ = 79828151832. Its totient is φ = 5893344000.

The previous prime is 22100201983. The next prime is 22100202037. The reversal of 22100202000 is 20200122.

It can be written as a sum of positive squares in 4 ways, for example, as 4938153984 + 17162048016 = 70272^2 + 131004^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93790 + ... + 230210.

Almost surely, 2^22100202000 is an apocalyptic number.

22100202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39914075916).

22100202000 is an abundant number, since it is smaller than the sum of its proper divisors (57727949832).

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

22100202000 is a wasteful number, since it uses less digits than its factorization.

22100202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136456 (or 136431 counting only the distinct ones).

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

Adding to 22100202000 its reverse (20200122), we get a palindrome (22120402122).

The spelling of 22100202000 in words is "twenty-two billion, one hundred million, two hundred two thousand".