10201100311332 has 144 divisors (see below), whose sum is σ = 31207430217600. Its totient is φ = 2742795703296.

The previous prime is 10201100311331. The next prime is 10201100311439. The reversal of 10201100311332 is 23311300110201.

10201100311332 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 1 + 0 + 0 + 311 + 332 = 666.

It is a super-2 number, since 2×10201100311332² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10201100311331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33593919 + ... + 33896217.

It is an arithmetic number, because the mean of its divisors is an integer number (216718265400).

Almost surely, 2^{10201100311332} is an apocalyptic number.

10201100311332 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 10201100311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603715108800).

10201100311332 is an abundant number, since it is smaller than the sum of its proper divisors (21006329906268).

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

10201100311332 is a wasteful number, since it uses less digits than its factorization.

10201100311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310210 (or 310205 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10201100311332 its reverse (23311300110201), we get a palindrome (33512400421533).

The spelling of 10201100311332 in words is "ten trillion, two hundred one billion, one hundred million, three hundred eleven thousand, three hundred thirty-two".