10101122210111 has 2 divisors, whose sum is σ = 10101122210112. Its totient is φ = 10101122210110.

The previous prime is 10101122210009. The next prime is 10101122210177. The reversal of 10101122210111 is 11101222110101.

It is a strong prime.

It is an emirp because it is prime and its reverse (11101222110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101122210111 - 2¹⁴ = 10101122193727 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101122210411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050561105055 + 5050561105056.

It is an arithmetic number, because the mean of its divisors is an integer number (5050561105056).

Almost surely, 2^{10101122210111} is an apocalyptic number.

10101122210111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101122210111 is an equidigital number, since it uses as much as digits as its factorization.

10101122210111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10101122210111 its reverse (11101222110101), we get a palindrome (21202344320212).

It can be divided in two parts, 1010112 and 2210111, that added together give a palindrome (3220223).

The spelling of 10101122210111 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, two hundred ten thousand, one hundred eleven".