201011230100032 has 112 divisors (see below), whose sum is σ = 437083614040320. Its totient is φ = 90961978060800.

The previous prime is 201011230100027. The next prime is 201011230100039. The reversal of 201011230100032 is 230001032110102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201011230099979 and 201011230100015.

It is not an unprimeable number, because it can be changed into a prime (201011230100039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220514569 + ... + 221424247.

Almost surely, 2^{201011230100032} is an apocalyptic number.

201011230100032 is a gapful number since it is divisible by the number (22) 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 201011230100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218541807020160).

201011230100032 is an abundant number, since it is smaller than the sum of its proper divisors (236072383940288).

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

201011230100032 is a wasteful number, since it uses less digits than its factorization.

201011230100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911100 (or 911090 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201011230100032 its reverse (230001032110102), we get a palindrome (431012262210134).

The spelling of 201011230100032 in words is "two hundred one trillion, eleven billion, two hundred thirty million, one hundred thousand, thirty-two".