10101111099991 has 2 divisors, whose sum is σ = 10101111099992. Its totient is φ = 10101111099990.

The previous prime is 10101111099973. The next prime is 10101111100001. The reversal of 10101111099991 is 19999011110101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101111099991 - 2²⁹ = 10100574229079 is a prime.

It is a super-2 number, since 2×10101111099991² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101111096991) 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, 5050555549995 + 5050555549996.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555549996).

Almost surely, 2^{10101111099991} is an apocalyptic number.

10101111099991 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111099991 is an equidigital number, since it uses as much as digits as its factorization.

10101111099991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 43.

It can be divided in two parts, 101011110 and 99991, that added together give a palindrome (101111101).

The spelling of 10101111099991 in words is "ten trillion, one hundred one billion, one hundred eleven million, ninety-nine thousand, nine hundred ninety-one".