100113101220233 has 2 divisors, whose sum is σ = 100113101220234. Its totient is φ = 100113101220232.

The previous prime is 100113101220173. The next prime is 100113101220269. The reversal of 100113101220233 is 332022101311001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56124265341769 + 43988835878464 = 7491613^2 + 6632408^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113101220233 - 2²⁴ = 100113084443017 is a prime.

It is a super-4 number, since 4×100113101220233⁴ (a number of 57 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (100113101220733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056550610116 + 50056550610117.

It is an arithmetic number, because the mean of its divisors is an integer number (50056550610117).

Almost surely, 2^{100113101220233} is an apocalyptic number.

It is an amenable number.

100113101220233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113101220233 is an equidigital number, since it uses as much as digits as its factorization.

100113101220233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100113101220233 its reverse (332022101311001), we get a palindrome (432135202531234).

The spelling of 100113101220233 in words is "one hundred trillion, one hundred thirteen billion, one hundred one million, two hundred twenty thousand, two hundred thirty-three".