23122101002100 has 144 divisors (see below), whose sum is σ = 68052603896256. Its totient is φ = 6059824128000.

The previous prime is 23122101002089. The next prime is 23122101002101. The reversal of 23122101002100 is 120010122132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23122101002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122101002101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21751995 + ... + 22790205.

Almost surely, 2^{23122101002100} is an apocalyptic number.

23122101002100 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 23122101002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34026301948128).

23122101002100 is an abundant number, since it is smaller than the sum of its proper divisors (44930502894156).

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

23122101002100 is a wasteful number, since it uses less digits than its factorization.

23122101002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039506 (or 1039499 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 23122101002100 its reverse (120010122132), we get a palindrome (23242111124232).

The spelling of 23122101002100 in words is "twenty-three trillion, one hundred twenty-two billion, one hundred one million, two thousand, one hundred".