23024121311100 has 288 divisors, whose sum is σ = 82101412395520. Its totient is φ = 4851205032960.

The previous prime is 23024121311099. The next prime is 23024121311123. The reversal of 23024121311100 is 111312142032.

It is a super-2 number, since 2×23024121311100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19435611 + ... + 20586189.

Almost surely, 2^{23024121311100} is an apocalyptic number.

23024121311100 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 23024121311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41050706197760).

23024121311100 is an abundant number, since it is smaller than the sum of its proper divisors (59077291084420).

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

23024121311100 is a wasteful number, since it uses less digits than its factorization.

23024121311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151349 (or 1151342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 23024121311100 its reverse (111312142032), we get a palindrome (23135433453132).

The spelling of 23024121311100 in words is "twenty-three trillion, twenty-four billion, one hundred twenty-one million, three hundred eleven thousand, one hundred".