101200013320 has 128 divisors (see below), whose sum is σ = 279649532160. Its totient is φ = 32168632320.

The previous prime is 101200013281. The next prime is 101200013339. The reversal of 101200013320 is 23310002101.

It is a self number, because there is not a number n which added to its sum of digits gives 101200013320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160260 + ... + 477580.

It is an arithmetic number, because the mean of its divisors is an integer number (2184761970).

Almost surely, 2^101200013320 is an apocalyptic number.

101200013320 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 101200013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139824766080).

101200013320 is an abundant number, since it is smaller than the sum of its proper divisors (178449518840).

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

101200013320 is a wasteful number, since it uses less digits than its factorization.

101200013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317423 (or 317419 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101200013320 its reverse (23310002101), we get a palindrome (124510015421).

The spelling of 101200013320 in words is "one hundred one billion, two hundred million, thirteen thousand, three hundred twenty".