100132213302 has 96 divisors (see below), whose sum is σ = 238233954816. Its totient is φ = 30144052800.

The previous prime is 100132213301. The next prime is 100132213303. The reversal of 100132213302 is 203312231001.

100132213302 is a `hidden beast` number, since 10 + 0 + 1 + 322 + 1 + 330 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100132213301) and next prime (100132213303).

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 (100132213301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20011933 + ... + 20016935.

It is an arithmetic number, because the mean of its divisors is an integer number (2481603696).

Almost surely, 2^100132213302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100132213302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119116977408).

100132213302 is an abundant number, since it is smaller than the sum of its proper divisors (138101741514).

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

100132213302 is a wasteful number, since it uses less digits than its factorization.

100132213302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100132213302 its reverse (203312231001), we get a palindrome (303444444303).

The spelling of 100132213302 in words is "one hundred billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred two".