101233200132 has 108 divisors (see below), whose sum is σ = 274736405580. Its totient is φ = 31404675456.

The previous prime is 101233200119. The next prime is 101233200161. The reversal of 101233200132 is 231002332101.

101233200132 is a `hidden beast` number, since 101 + 233 + 200 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44696725056 + 56536475076 = 211416^2 + 237774^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 632794 + ... + 776462.

Almost surely, 2^101233200132 is an apocalyptic number.

101233200132 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 101233200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137368202790).

101233200132 is an abundant number, since it is smaller than the sum of its proper divisors (173503205448).

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

101233200132 is a wasteful number, since it uses less digits than its factorization.

101233200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143762 (or 143734 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101233200132 its reverse (231002332101), we get a palindrome (332235532233).

The spelling of 101233200132 in words is "one hundred one billion, two hundred thirty-three million, two hundred thousand, one hundred thirty-two".