101010010111091 has 2 divisors, whose sum is σ = 101010010111092. Its totient is φ = 101010010111090.

The previous prime is 101010010111051. The next prime is 101010010111117. The reversal of 101010010111091 is 190111010010101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101010010111091 - 2¹⁸ = 101010009848947 is a prime.

It is a super-2 number, since 2×101010010111091² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101010010111051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005055545 + 50505005055546.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005055546).

Almost surely, 2^{101010010111091} is an apocalyptic number.

101010010111091 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010111091 is an equidigital number, since it uses as much as digits as its factorization.

101010010111091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

Adding to 101010010111091 its reverse (190111010010101), we get a palindrome (291121020121192).

It can be divided in two parts, 101010010 and 111091, that added together give a palindrome (101121101).

The spelling of 101010010111091 in words is "one hundred one trillion, ten billion, ten million, one hundred eleven thousand, ninety-one".