100111121233 has 2 divisors, whose sum is σ = 100111121234. Its totient is φ = 100111121232.

The previous prime is 100111121191. The next prime is 100111121261. The reversal of 100111121233 is 332121111001.

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., 82962433024 + 17148688209 = 288032^2 + 130953^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111121233 - 2³³ = 91521186641 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111121333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055560616 + 50055560617.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560617).

Almost surely, 2^100111121233 is an apocalyptic number.

It is an amenable number.

100111121233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111121233 is an equidigital number, since it uses as much as digits as its factorization.

100111121233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100111121233 its reverse (332121111001), we get a palindrome (432232232234).

The spelling of 100111121233 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, two hundred thirty-three".