10201134411204 has 96 divisors (see below), whose sum is σ = 27603809372160. Its totient is φ = 2899559664000.

The previous prime is 10201134411203. The next prime is 10201134411229. The reversal of 10201134411204 is 40211443110201.

It is a happy number.

10201134411204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10201134411203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19882524 + ... + 20389139.

It is an arithmetic number, because the mean of its divisors is an integer number (287539680960).

Almost surely, 2^{10201134411204} is an apocalyptic number.

It is an amenable number.

10201134411204 is an abundant number, since it is smaller than the sum of its proper divisors (17402674960956).

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

10201134411204 is a wasteful number, since it uses less digits than its factorization.

10201134411204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40271801 (or 40271799 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10201134411204 its reverse (40211443110201), we get a palindrome (50412577521405).

The spelling of 10201134411204 in words is "ten trillion, two hundred one billion, one hundred thirty-four million, four hundred eleven thousand, two hundred four".