100132312210020 has 288 divisors, whose sum is σ = 327189204486144. Its totient is φ = 24715220428800.

The previous prime is 100132312209931. The next prime is 100132312210087. The reversal of 100132312210020 is 20012213231001.

100132312210020 is a `hidden beast` number, since 10 + 0 + 132 + 312 + 210 + 0 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100132312209975 and 100132312210002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2555614830 + ... + 2555654010.

It is an arithmetic number, because the mean of its divisors is an integer number (1136073626688).

Almost surely, 2^{100132312210020} is an apocalyptic number.

100132312210020 is a gapful number since it is divisible by the number (10) 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 100132312210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163594602243072).

100132312210020 is an abundant number, since it is smaller than the sum of its proper divisors (227056892276124).

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

100132312210020 is a wasteful number, since it uses less digits than its factorization.

100132312210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59163 (or 59158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100132312210020 its reverse (20012213231001), we get a palindrome (120144525441021).

The spelling of 100132312210020 in words is "one hundred trillion, one hundred thirty-two billion, three hundred twelve million, two hundred ten thousand, twenty".