100130132203101 has 384 divisors, whose sum is σ = 215156996361216. Its totient is φ = 43138988605440.

The previous prime is 100130132203043. The next prime is 100130132203163. The reversal of 100130132203101 is 101302231031001.

100130132203101 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 30 + 1 + 322 + 0 + 310 + 1 = 666.

It is not a de Polignac number, because 100130132203101 - 2⁶ = 100130132203037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130132203181) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 300166335 + ... + 300499731.

It is an arithmetic number, because the mean of its divisors is an integer number (560304678024).

Almost surely, 2^{100130132203101} is an apocalyptic number.

100130132203101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100130132203101 is an abundant number, since it is smaller than the sum of its proper divisors (115026864158115).

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

100130132203101 is a wasteful number, since it uses less digits than its factorization.

100130132203101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333541 (or 333538 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100130132203101 its reverse (101302231031001), we get a palindrome (201432363234102).

It can be divided in two parts, 100130 and 132203101, that added together give a palindrome (132303231).

The spelling of 100130132203101 in words is "one hundred trillion, one hundred thirty billion, one hundred thirty-two million, two hundred three thousand, one hundred one".