10122111111011 has 2 divisors, whose sum is σ = 10122111111012. Its totient is φ = 10122111111010.

The previous prime is 10122111110987. The next prime is 10122111111019. The reversal of 10122111111011 is 11011111122101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10122111111011 - 2¹⁸ = 10122110848867 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122111111019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061055555505 + 5061055555506.

It is an arithmetic number, because the mean of its divisors is an integer number (5061055555506).

Almost surely, 2^{10122111111011} is an apocalyptic number.

10122111111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122111111011 is an equidigital number, since it uses as much as digits as its factorization.

10122111111011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 10122111111011 its reverse (11011111122101), we get a palindrome (21133222233112).

The spelling of 10122111111011 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, eleven".