101112212291 has 2 divisors, whose sum is σ = 101112212292. Its totient is φ = 101112212290.

The previous prime is 101112212273. The next prime is 101112212293. The reversal of 101112212291 is 192212211101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101112212291 - 2¹⁰ = 101112211267 is a prime.

It is a Sophie Germain prime.

Together with 101112212293, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101112212293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556106145 + 50556106146.

It is an arithmetic number, because the mean of its divisors is an integer number (50556106146).

Almost surely, 2^101112212291 is an apocalyptic number.

101112212291 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112212291 is an equidigital number, since it uses as much as digits as its factorization.

101112212291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 101112212291 its reverse (192212211101), we get a palindrome (293324423392).

The spelling of 101112212291 in words is "one hundred one billion, one hundred twelve million, two hundred twelve thousand, two hundred ninety-one".