10121101121 has 2 divisors, whose sum is σ = 10121101122. Its totient is φ = 10121101120.

The previous prime is 10121101073. The next prime is 10121101129. The reversal of 10121101121 is 12110112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9388641025 + 732460096 = 96895^2 + 27064^2 .

It is an emirp because it is prime and its reverse (12110112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121101121 - 2⁶ = 10121101057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121101129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060550560 + 5060550561.

It is an arithmetic number, because the mean of its divisors is an integer number (5060550561).

Almost surely, 2^10121101121 is an apocalyptic number.

It is an amenable number.

10121101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121101121 is an equidigital number, since it uses as much as digits as its factorization.

10121101121 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 11.

Adding to 10121101121 its reverse (12110112101), we get a palindrome (22231213222).

The spelling of 10121101121 in words is "ten billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-one".