23312100102000 has 320 divisors, whose sum is σ = 80309405404800. Its totient is φ = 5797199462400.

The previous prime is 23312100101971. The next prime is 23312100102029. The reversal of 23312100102000 is 20100121332.

It is an interprime number because it is at equal distance from previous prime (23312100101971) and next prime (23312100102029).

It is a super-2 number, since 2×23312100102000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10069606 + ... + 12166394.

It is an arithmetic number, because the mean of its divisors is an integer number (250966891890).

Almost surely, 2^{23312100102000} is an apocalyptic number.

23312100102000 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 23312100102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40154702702400).

23312100102000 is an abundant number, since it is smaller than the sum of its proper divisors (56997305302800).

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

23312100102000 is a wasteful number, since it uses less digits than its factorization.

23312100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096941 (or 2096925 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23312100102000 its reverse (20100121332), we get a palindrome (23332200223332).

The spelling of 23312100102000 in words is "twenty-three trillion, three hundred twelve billion, one hundred million, one hundred two thousand".