100132301122101 has 128 divisors (see below), whose sum is σ = 156642105415680. Its totient is φ = 63958013683200.

The previous prime is 100132301122099. The next prime is 100132301122103. The reversal of 100132301122101 is 101221103231001.

100132301122101 is a `hidden beast` number, since 10 + 0 + 132 + 301 + 1 + 221 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100132301122099) and next prime (100132301122103).

It is not a de Polignac number, because 100132301122101 - 2¹ = 100132301122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132301122103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 854553220 + ... + 854670386.

It is an arithmetic number, because the mean of its divisors is an integer number (1223766448560).

Almost surely, 2^{100132301122101} is an apocalyptic number.

It is an amenable number.

100132301122101 is a deficient number, since it is larger than the sum of its proper divisors (56509804293579).

100132301122101 is an equidigital number, since it uses as much as digits as its factorization.

100132301122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117415 (or 117397 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100132301122101 its reverse (101221103231001), we get a palindrome (201353404353102).

The spelling of 100132301122101 in words is "one hundred trillion, one hundred thirty-two billion, three hundred one million, one hundred twenty-two thousand, one hundred one".