101122010000111 has 2 divisors, whose sum is σ = 101122010000112. Its totient is φ = 101122010000110.

The previous prime is 101122010000093. The next prime is 101122010000113. The reversal of 101122010000111 is 111000010221101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101122010000111 - 2¹⁴ = 101122009983727 is a prime.

Together with 101122010000113, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122010000092 and 101122010000101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122010000113) 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, 50561005000055 + 50561005000056.

It is an arithmetic number, because the mean of its divisors is an integer number (50561005000056).

Almost surely, 2^{101122010000111} is an apocalyptic number.

101122010000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122010000111 is an equidigital number, since it uses as much as digits as its factorization.

101122010000111 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 101122010000111 its reverse (111000010221101), we get a palindrome (212122020221212).

The spelling of 101122010000111 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, one hundred eleven", and thus it is an aban number.