101101132332 has 288 divisors, whose sum is σ = 287530763520. Its totient is φ = 29824381440.

The previous prime is 101101132303. The next prime is 101101132333. The reversal of 101101132332 is 233231101101.

101101132332 is a `hidden beast` number, since 101 + 101 + 132 + 332 = 666.

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 (101101132333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66382123 + ... + 66383645.

Almost surely, 2^101101132332 is an apocalyptic number.

101101132332 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 101101132332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143765381760).

101101132332 is an abundant number, since it is smaller than the sum of its proper divisors (186429631188).

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

101101132332 is a wasteful number, since it uses less digits than its factorization.

101101132332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1688 counting only the distinct ones).

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

Adding to 101101132332 its reverse (233231101101), we get a palindrome (334332233433).

The spelling of 101101132332 in words is "one hundred one billion, one hundred one million, one hundred thirty-two thousand, three hundred thirty-two".