10122112111 has 2 divisors, whose sum is σ = 10122112112. Its totient is φ = 10122112110.

The previous prime is 10122112109. The next prime is 10122112123. The reversal of 10122112111 is 11121122101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10122112111 - 2¹ = 10122112109 is a prime.

Together with 10122112109, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10122112091 and 10122112100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122112181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061056055 + 5061056056.

It is an arithmetic number, because the mean of its divisors is an integer number (5061056056).

Almost surely, 2^10122112111 is an apocalyptic number.

10122112111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122112111 is an equidigital number, since it uses as much as digits as its factorization.

10122112111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10122112111 its reverse (11121122101), we get a palindrome (21243234212).

The spelling of 10122112111 in words is "ten billion, one hundred twenty-two million, one hundred twelve thousand, one hundred eleven".