10132110311200 has 72 divisors (see below), whose sum is σ = 24735853179072. Its totient is φ = 4052706673920.

The previous prime is 10132110311189. The next prime is 10132110311221. The reversal of 10132110311200 is 211301123101.

It is a happy number.

10132110311200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25278757 + ... + 25676443.

It is an arithmetic number, because the mean of its divisors is an integer number (343553516376).

Almost surely, 2^{10132110311200} is an apocalyptic number.

10132110311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132110311200 is an abundant number, since it is smaller than the sum of its proper divisors (14603742867872).

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

10132110311200 is a wasteful number, since it uses less digits than its factorization.

10132110311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429554 (or 429541 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10132110311200 its reverse (211301123101), we get a palindrome (10343411434301).

The spelling of 10132110311200 in words is "ten trillion, one hundred thirty-two billion, one hundred ten million, three hundred eleven thousand, two hundred".