100100301132 has 96 divisors (see below), whose sum is σ = 260968587264. Its totient is φ = 29654956800.

The previous prime is 100100301079. The next prime is 100100301137. The reversal of 100100301132 is 231103001001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100100301137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900157 + ... + 1005227.

It is an arithmetic number, because the mean of its divisors is an integer number (2718422784).

Almost surely, 2^100100301132 is an apocalyptic number.

100100301132 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 100100301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130484293632).

100100301132 is an abundant number, since it is smaller than the sum of its proper divisors (160868286132).

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

100100301132 is a wasteful number, since it uses less digits than its factorization.

100100301132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105319 (or 105317 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100100301132 its reverse (231103001001), we get a palindrome (331203302133).

The spelling of 100100301132 in words is "one hundred billion, one hundred million, three hundred one thousand, one hundred thirty-two".