22300101120 has 320 divisors, whose sum is σ = 78530259456. Its totient is φ = 5353390080.

The previous prime is 22300101073. The next prime is 22300101121. The reversal of 22300101120 is 2110100322.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22300101096 and 22300101105.

It is not an unprimeable number, because it can be changed into a prime (22300101121) 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, 9038127 + ... + 9040593.

Almost surely, 2^22300101120 is an apocalyptic number.

22300101120 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 22300101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39265129728).

22300101120 is an abundant number, since it is smaller than the sum of its proper divisors (56230158336).

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

22300101120 is a wasteful number, since it uses less digits than its factorization.

22300101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22300101120 its reverse (2110100322), we get a palindrome (24410201442).

The spelling of 22300101120 in words is "twenty-two billion, three hundred million, one hundred one thousand, one hundred twenty".