23102122313100 has 144 divisors (see below), whose sum is σ = 68607358848000. Its totient is φ = 5999190405120.

The previous prime is 23102122313089. The next prime is 23102122313129. The reversal of 23102122313100 is 131322120132.

It is a super-2 number, since 2×23102122313100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1310805 + ... + 6922604.

It is an arithmetic number, because the mean of its divisors is an integer number (476439992000).

Almost surely, 2^{23102122313100} is an apocalyptic number.

23102122313100 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 23102122313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303679424000).

23102122313100 is an abundant number, since it is smaller than the sum of its proper divisors (45505236534900).

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

23102122313100 is a wasteful number, since it uses less digits than its factorization.

23102122313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233672 (or 8233665 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 23102122313100 its reverse (131322120132), we get a palindrome (23233444433232).

The spelling of 23102122313100 in words is "twenty-three trillion, one hundred two billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred".