101112221022091 has 2 divisors, whose sum is σ = 101112221022092. Its totient is φ = 101112221022090.

The previous prime is 101112221022017. The next prime is 101112221022133. The reversal of 101112221022091 is 190220122211101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101112221022091 - 2¹⁵ = 101112220989323 is a prime.

It is a super-2 number, since 2×101112221022091² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101112221032091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556110511045 + 50556110511046.

It is an arithmetic number, because the mean of its divisors is an integer number (50556110511046).

Almost surely, 2^{101112221022091} is an apocalyptic number.

101112221022091 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112221022091 is an equidigital number, since it uses as much as digits as its factorization.

101112221022091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

Adding to 101112221022091 its reverse (190220122211101), we get a palindrome (291332343233192).

The spelling of 101112221022091 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-one million, twenty-two thousand, ninety-one".