22301132100100 has 54 divisors (see below), whose sum is σ = 56294429185050. Its totient is φ = 7646102432640.

The previous prime is 22301132100067. The next prime is 22301132100109. The reversal of 22301132100100 is 100123110322.

It can be written as a sum of positive squares in 3 ways, for example, as 25884948544 + 22275247151556 = 160888^2 + 4719666^2 .

It is a super-2 number, since 2×22301132100100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22301132100109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2275620825 + ... + 2275630624.

Almost surely, 2^{22301132100100} is an apocalyptic number.

22301132100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22301132100100 is an abundant number, since it is smaller than the sum of its proper divisors (33993297084950).

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

22301132100100 is a wasteful number, since it uses less digits than its factorization.

22301132100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551251477 (or 4551251463 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22301132100100 its reverse (100123110322), we get a palindrome (22401255210422).

The spelling of 22301132100100 in words is "twenty-two trillion, three hundred one billion, one hundred thirty-two million, one hundred thousand, one hundred".