101121111233 has 2 divisors, whose sum is σ = 101121111234. Its totient is φ = 101121111232.

The previous prime is 101121111197. The next prime is 101121111257. The reversal of 101121111233 is 332111121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100357804849 + 763306384 = 316793^2 + 27628^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121111233 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101123111233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560555616 + 50560555617.

It is an arithmetic number, because the mean of its divisors is an integer number (50560555617).

Almost surely, 2^101121111233 is an apocalyptic number.

It is an amenable number.

101121111233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121111233 is an equidigital number, since it uses as much as digits as its factorization.

101121111233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101121111233 its reverse (332111121101), we get a palindrome (433232232334).

The spelling of 101121111233 in words is "one hundred one billion, one hundred twenty-one million, one hundred eleven thousand, two hundred thirty-three".