22001100010100 has 36 divisors (see below), whose sum is σ = 48278818356300. Its totient is φ = 8701558652160.

The previous prime is 22001100010093. The next prime is 22001100010103. The reversal of 22001100010100 is 101000110022.

It can be written as a sum of positive squares in 6 ways, for example, as 2612736028816 + 19388363981284 = 1616396^2 + 4403222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001100010103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1236007955 + ... + 1236025754.

It is an arithmetic number, because the mean of its divisors is an integer number (1341078287675).

Almost surely, 2^{22001100010100} is an apocalyptic number.

22001100010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001100010100 is an abundant number, since it is smaller than the sum of its proper divisors (26277718346200).

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

22001100010100 is a wasteful number, since it uses less digits than its factorization.

22001100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472033812 (or 2472033805 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22001100010100 its reverse (101000110022), we get a palindrome (22102100120122).

The spelling of 22001100010100 in words is "twenty-two trillion, one billion, one hundred million, ten thousand, one hundred".