23301121100100 has 144 divisors (see below), whose sum is σ = 68774239916928. Its totient is φ = 6089868840960.

The previous prime is 23301121100099. The next prime is 23301121100107. The reversal of 23301121100100 is 100112110332.

It is a happy number.

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 23301121100100.

It is not an unprimeable number, because it can be changed into a prime (23301121100107) 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, 889719 + ... + 6884318.

It is an arithmetic number, because the mean of its divisors is an integer number (477598888312).

Almost surely, 2^{23301121100100} is an apocalyptic number.

23301121100100 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 23301121100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34387119958464).

23301121100100 is an abundant number, since it is smaller than the sum of its proper divisors (45473118816828).

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

23301121100100 is a wasteful number, since it uses less digits than its factorization.

23301121100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774254 (or 7774247 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 23301121100100 its reverse (100112110332), we get a palindrome (23401233210432).

The spelling of 23301121100100 in words is "twenty-three trillion, three hundred one billion, one hundred twenty-one million, one hundred thousand, one hundred".