10201331121432 has 128 divisors (see below), whose sum is σ = 27889585839360. Its totient is φ = 3083790251520.

The previous prime is 10201331121379. The next prime is 10201331121497. The reversal of 10201331121432 is 23412113310201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 206634783 + ... + 206684145.

It is an arithmetic number, because the mean of its divisors is an integer number (217887389370).

Almost surely, 2^{10201331121432} is an apocalyptic number.

10201331121432 is a gapful number since it is divisible by the number (12) 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 10201331121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944792919680).

10201331121432 is an abundant number, since it is smaller than the sum of its proper divisors (17688254717928).

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

10201331121432 is a wasteful number, since it uses less digits than its factorization.

10201331121432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51273 (or 51269 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10201331121432 its reverse (23412113310201), we get a palindrome (33613444431633).

The spelling of 10201331121432 in words is "ten trillion, two hundred one billion, three hundred thirty-one million, one hundred twenty-one thousand, four hundred thirty-two".