100132004412 has 192 divisors, whose sum is σ = 285545594880. Its totient is φ = 30092990400.

The previous prime is 100132004411. The next prime is 100132004437. The reversal of 100132004412 is 214400231001.

100132004412 is a `hidden beast` number, since 10 + 0 + 13 + 200 + 441 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132004411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137732793 + ... + 137733519.

It is an arithmetic number, because the mean of its divisors is an integer number (1487216640).

Almost surely, 2^100132004412 is an apocalyptic number.

100132004412 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 100132004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142772797440).

100132004412 is an abundant number, since it is smaller than the sum of its proper divisors (185413590468).

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

100132004412 is a wasteful number, since it uses less digits than its factorization.

100132004412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100132004412 its reverse (214400231001), we get a palindrome (314532235413).

The spelling of 100132004412 in words is "one hundred billion, one hundred thirty-two million, four thousand, four hundred twelve".