22300123121100 has 864 divisors, whose sum is σ = 83032627571712. Its totient is φ = 4943877120000.

The previous prime is 22300123121071. The next prime is 22300123121119. The reversal of 22300123121100 is 112132100322.

22300123121100 is a `hidden beast` number, since 2 + 230 + 0 + 12 + 312 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5672886135 + ... + 5672890065.

It is an arithmetic number, because the mean of its divisors is an integer number (96102578208).

Almost surely, 2^{22300123121100} is an apocalyptic number.

22300123121100 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 22300123121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41516313785856).

22300123121100 is an abundant number, since it is smaller than the sum of its proper divisors (60732504450612).

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

22300123121100 is a wasteful number, since it uses less digits than its factorization.

22300123121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22300123121100 its reverse (112132100322), we get a palindrome (22412255221422).

The spelling of 22300123121100 in words is "twenty-two trillion, three hundred billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred".