10101122111 has 2 divisors, whose sum is σ = 10101122112. Its totient is φ = 10101122110.

The previous prime is 10101122099. The next prime is 10101122123. The reversal of 10101122111 is 11122110101.

10101122111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10101122099) and next prime (10101122123).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101122111 is a prime.

It is a super-3 number, since 3×10101122111³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101122092 and 10101122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101122191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050561055 + 5050561056.

It is an arithmetic number, because the mean of its divisors is an integer number (5050561056).

Almost surely, 2^10101122111 is an apocalyptic number.

10101122111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101122111 is an equidigital number, since it uses as much as digits as its factorization.

10101122111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101122111 its reverse (11122110101), we get a palindrome (21223232212).

The spelling of 10101122111 in words is "ten billion, one hundred one million, one hundred twenty-two thousand, one hundred eleven".