22301100002000 has 160 divisors (see below), whose sum is σ = 54475916651520. Its totient is φ = 8829238809600.

The previous prime is 22301100001987. The next prime is 22301100002009. The reversal of 22301100002000 is 20000110322.

It is a happy number.

It is a super-2 number, since 2×22301100002000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22301100002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410530841 + ... + 410585159.

It is an arithmetic number, because the mean of its divisors is an integer number (340474479072).

Almost surely, 2^{22301100002000} is an apocalyptic number.

22301100002000 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 22301100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27237958325760).

22301100002000 is an abundant number, since it is smaller than the sum of its proper divisors (32174816649520).

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

22301100002000 is a wasteful number, since it uses less digits than its factorization.

22301100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56438 (or 56422 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 22301100002000 its reverse (20000110322), we get a palindrome (22321100112322).

The spelling of 22301100002000 in words is "twenty-two trillion, three hundred one billion, one hundred million, two thousand".