100101012132 has 96 divisors (see below), whose sum is σ = 257113793664. Its totient is φ = 30309396480.

The previous prime is 100101012079. The next prime is 100101012133. The reversal of 100101012132 is 231210101001.

It is a super-2 number, since 2×100101012132² (a number of 23 digits) contains 22 as substring.

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 (100101012133) 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, 38603028 + ... + 38605620.

It is an arithmetic number, because the mean of its divisors is an integer number (2678268684).

Almost surely, 2^100101012132 is an apocalyptic number.

100101012132 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 100101012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128556896832).

100101012132 is an abundant number, since it is smaller than the sum of its proper divisors (157012781532).

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

100101012132 is a wasteful number, since it uses less digits than its factorization.

100101012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050 (or 5026 counting only the distinct ones).

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

Adding to 100101012132 its reverse (231210101001), we get a palindrome (331311113133).

The spelling of 100101012132 in words is "one hundred billion, one hundred one million, twelve thousand, one hundred thirty-two".