100211232113 has 4 divisors (see below), whose sum is σ = 102655408548. Its totient is φ = 97767055680.

The previous prime is 100211232089. The next prime is 100211232133. The reversal of 100211232113 is 311232112001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311232112001 = 67 ⋅4645255403.

It can be written as a sum of positive squares in 2 ways, for example, as 57060310129 + 43150921984 = 238873^2 + 207728^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211232113 - 2²⁰ = 100210183537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211232091 and 100211232100.

It is not an unprimeable number, because it can be changed into a prime (100211232133) 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, 1222088156 + ... + 1222088237.

It is an arithmetic number, because the mean of its divisors is an integer number (25663852137).

Almost surely, 2^100211232113 is an apocalyptic number.

It is an amenable number.

100211232113 is a deficient number, since it is larger than the sum of its proper divisors (2444176435).

100211232113 is an equidigital number, since it uses as much as digits as its factorization.

100211232113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444176434.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100211232113 its reverse (311232112001), we get a palindrome (411443344114).

The spelling of 100211232113 in words is "one hundred billion, two hundred eleven million, two hundred thirty-two thousand, one hundred thirteen".