1101121312121 has 2 divisors, whose sum is σ = 1101121312122. Its totient is φ = 1101121312120.

The previous prime is 1101121312051. The next prime is 1101121312169. The reversal of 1101121312121 is 1212131211011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 674059062121 + 427062250000 = 821011^2 + 653500^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101121312121 - 2³⁸ = 826243405177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1101121312121.

It is not a weakly prime, because it can be changed into another prime (1101121312171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550560656060 + 550560656061.

It is an arithmetic number, because the mean of its divisors is an integer number (550560656061).

Almost surely, 2^{1101121312121} is an apocalyptic number.

It is an amenable number.

1101121312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101121312121 is an equidigital number, since it uses as much as digits as its factorization.

1101121312121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1101121312121 its reverse (1212131211011), we get a palindrome (2313252523132).

The spelling of 1101121312121 in words is "one trillion, one hundred one billion, one hundred twenty-one million, three hundred twelve thousand, one hundred twenty-one".