23101123211100 has 216 divisors, whose sum is σ = 78995410970112. Its totient is φ = 5600019177600.

The previous prime is 23101123211093. The next prime is 23101123211141. The reversal of 23101123211100 is 111232110132.

23101123211100 is a `hidden beast` number, since 2 + 310 + 11 + 232 + 1 + 110 + 0 = 666.

It is a super-2 number, since 2×23101123211100² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 312634759 + ... + 312708641.

It is an arithmetic number, because the mean of its divisors is an integer number (365719495232).

Almost surely, 2^{23101123211100} is an apocalyptic number.

23101123211100 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 23101123211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39497705485056).

23101123211100 is an abundant number, since it is smaller than the sum of its proper divisors (55894287759012).

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

23101123211100 is a wasteful number, since it uses less digits than its factorization.

23101123211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105497 (or 105487 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 23101123211100 its reverse (111232110132), we get a palindrome (23212355321232).

The spelling of 23101123211100 in words is "twenty-three trillion, one hundred one billion, one hundred twenty-three million, two hundred eleven thousand, one hundred".