10101010101121 has 2 divisors, whose sum is σ = 10101010101122. Its totient is φ = 10101010101120.

The previous prime is 10101010101059. The next prime is 10101010101167. The reversal of 10101010101121 is 12110101010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5559150106225 + 4541859994896 = 2357785^2 + 2131164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101010101121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101010101098 and 10101010101107.

It is not a weakly prime, because it can be changed into another prime (10101010102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505050560 + 5050505050561.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505050561).

Almost surely, 2^{10101010101121} is an apocalyptic number.

It is an amenable number.

10101010101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101010101121 is an equidigital number, since it uses as much as digits as its factorization.

10101010101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10101010101121 its reverse (12110101010101), we get a palindrome (22211111111222).

It can be divided in two parts, 10101010101 and 121, that multiplied together give a palindrome (1222222222221).

The spelling of 10101010101121 in words is "ten trillion, one hundred one billion, ten million, one hundred one thousand, one hundred twenty-one".