201101123232 has 144 divisors (see below), whose sum is σ = 581666740200. Its totient is φ = 65896022016.

The previous prime is 201101123227. The next prime is 201101123233. The reversal of 201101123232 is 232321101102.

It can be written as a sum of positive squares in 4 ways, for example, as 107266730256 + 93834392976 = 327516^2 + 306324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (201101123233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4138308 + ... + 4186620.

Almost surely, 2^201101123232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290833370100).

201101123232 is an abundant number, since it is smaller than the sum of its proper divisors (380565616968).

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

201101123232 is a wasteful number, since it uses less digits than its factorization.

201101123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48575 (or 48564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201101123232 its reverse (232321101102), we get a palindrome (433422224334).

The spelling of 201101123232 in words is "two hundred one billion, one hundred one million, one hundred twenty-three thousand, two hundred thirty-two".