100132201312 has 192 divisors, whose sum is σ = 242498914560. Its totient is φ = 40071628800.

The previous prime is 100132201303. The next prime is 100132201327. The reversal of 100132201312 is 213102231001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11009887 + ... + 11018977.

It is an arithmetic number, because the mean of its divisors is an integer number (1263015180).

Almost surely, 2^100132201312 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 100132201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121249457280).

100132201312 is an abundant number, since it is smaller than the sum of its proper divisors (142366713248).

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

100132201312 is a wasteful number, since it uses less digits than its factorization.

100132201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9237 (or 9229 counting only the distinct ones).

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

Adding to 100132201312 its reverse (213102231001), we get a palindrome (313234432313).

The spelling of 100132201312 in words is "one hundred billion, one hundred thirty-two million, two hundred one thousand, three hundred twelve".