23101301002200 has 768 divisors, whose sum is σ = 77697169920000. Its totient is φ = 5663790612480.

The previous prime is 23101301002159. The next prime is 23101301002211. The reversal of 23101301002200 is 220010310132.

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 23101301002200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9062886526 + ... + 9062889074.

It is an arithmetic number, because the mean of its divisors is an integer number (101168190000).

Almost surely, 2^{23101301002200} is an apocalyptic number.

23101301002200 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 23101301002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38848584960000).

23101301002200 is an abundant number, since it is smaller than the sum of its proper divisors (54595868917800).

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

23101301002200 is a wasteful number, since it uses less digits than its factorization.

23101301002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2875 counting only the distinct ones).

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

Adding to 23101301002200 its reverse (220010310132), we get a palindrome (23321311312332).

The spelling of 23101301002200 in words is "twenty-three trillion, one hundred one billion, three hundred one million, two thousand, two hundred".