100132101121 has 4 divisors (see below), whose sum is σ = 107834570452. Its totient is φ = 92429631792.

The previous prime is 100132101071. The next prime is 100132101169. The reversal of 100132101121 is 121101231001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 121101231001 = 41 ⋅2953688561.

It can be written as a sum of positive squares in 2 ways, for example, as 42409636096 + 57722465025 = 205936^2 + 240255^2 .

It is a cyclic number.

It is not a de Polignac number, because 100132101121 - 2²⁹ = 99595230209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 7702469317 = 100132101121 / (1 + 0 + 0 + 1 + 3 + 2 + 1 + 0 + 1 + 1 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100132201121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3851234646 + ... + 3851234671.

It is an arithmetic number, because the mean of its divisors is an integer number (26958642613).

Almost surely, 2^100132101121 is an apocalyptic number.

It is an amenable number.

100132101121 is a deficient number, since it is larger than the sum of its proper divisors (7702469331).

100132101121 is an equidigital number, since it uses as much as digits as its factorization.

100132101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702469330.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100132101121 its reverse (121101231001), we get a palindrome (221233332122).

The spelling of 100132101121 in words is "one hundred billion, one hundred thirty-two million, one hundred one thousand, one hundred twenty-one".