22100200201000 has 64 divisors (see below), whose sum is σ = 53497726074000. Its totient is φ = 8535249721600.

The previous prime is 22100200200919. The next prime is 22100200201003. The reversal of 22100200201000 is 10200200122.

It can be written as a sum of positive squares in 8 ways, for example, as 357395926276 + 21742804274724 = 597826^2 + 4662918^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22100200201003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 381008935 + ... + 381066934.

Almost surely, 2^{22100200201000} is an apocalyptic number.

22100200201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100200201000 is an abundant number, since it is smaller than the sum of its proper divisors (31397525873000).

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

22100200201000 is a wasteful number, since it uses less digits than its factorization.

22100200201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762075919 (or 762075905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22100200201000 its reverse (10200200122), we get a palindrome (22110400401122).

The spelling of 22100200201000 in words is "twenty-two trillion, one hundred billion, two hundred million, two hundred one thousand".