10122111121081 has 2 divisors, whose sum is σ = 10122111121082. Its totient is φ = 10122111121080.

The previous prime is 10122111121007. The next prime is 10122111121121. The reversal of 10122111121081 is 18012111122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9953141619600 + 168969501481 = 3154860^2 + 411059^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122111121081 - 2¹⁷ = 10122110990009 is a prime.

It is a super-2 number, since 2×10122111121081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10122111131081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061055560540 + 5061055560541.

It is an arithmetic number, because the mean of its divisors is an integer number (5061055560541).

Almost surely, 2^{10122111121081} is an apocalyptic number.

It is an amenable number.

10122111121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122111121081 is an equidigital number, since it uses as much as digits as its factorization.

10122111121081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 10122111121081 its reverse (18012111122101), we get a palindrome (28134222243182).

The spelling of 10122111121081 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, eighty-one".