10201134032320 has 112 divisors (see below), whose sum is σ = 30285444745728. Its totient is φ = 3179574236160.

The previous prime is 10201134032153. The next prime is 10201134032381. The reversal of 10201134032320 is 2323043110201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10201134032291 and 10201134032300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206978892 + ... + 207028171.

Almost surely, 2^{10201134032320} is an apocalyptic number.

10201134032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201134032320 is an abundant number, since it is smaller than the sum of its proper divisors (20084310713408).

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

10201134032320 is a wasteful number, since it uses less digits than its factorization.

10201134032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414007098 (or 414007088 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10201134032320 its reverse (2323043110201), we get a palindrome (12524177142521).

The spelling of 10201134032320 in words is "ten trillion, two hundred one billion, one hundred thirty-four million, thirty-two thousand, three hundred twenty".