10120101313200 has 240 divisors, whose sum is σ = 33562289971200. Its totient is φ = 2603586585600.

The previous prime is 10120101313193. The next prime is 10120101313243. The reversal of 10120101313200 is 231310102101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 10120101313200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44395515 + ... + 44622885.

It is an arithmetic number, because the mean of its divisors is an integer number (139842874880).

Almost surely, 2^{10120101313200} is an apocalyptic number.

10120101313200 is a gapful number since it is divisible by the number (10) 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 10120101313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16781144985600).

10120101313200 is an abundant number, since it is smaller than the sum of its proper divisors (23442188658000).

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

10120101313200 is a wasteful number, since it uses less digits than its factorization.

10120101313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228700 (or 228689 counting only the distinct ones).

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

Adding to 10120101313200 its reverse (231310102101), we get a palindrome (10351411415301).

The spelling of 10120101313200 in words is "ten trillion, one hundred twenty billion, one hundred one million, three hundred thirteen thousand, two hundred".