1010112211091 has 2 divisors, whose sum is σ = 1010112211092. Its totient is φ = 1010112211090.

The previous prime is 1010112211081. The next prime is 1010112211099. The reversal of 1010112211091 is 1901122110101.

1010112211091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (1901122110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010112211091 - 2⁶ = 1010112211027 is a prime.

It is a super-3 number, since 3×1010112211091³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1010112211099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505056105545 + 505056105546.

It is an arithmetic number, because the mean of its divisors is an integer number (505056105546).

Almost surely, 2^{1010112211091} is an apocalyptic number.

1010112211091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010112211091 is an equidigital number, since it uses as much as digits as its factorization.

1010112211091 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 20.

Adding to 1010112211091 its reverse (1901122110101), we get a palindrome (2911234321192).

The spelling of 1010112211091 in words is "one trillion, ten billion, one hundred twelve million, two hundred eleven thousand, ninety-one".