1001111101121 has 2 divisors, whose sum is σ = 1001111101122. Its totient is φ = 1001111101120.

The previous prime is 1001111101087. The next prime is 1001111101129. The reversal of 1001111101121 is 1211011111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 535392207025 + 465718894096 = 731705^2 + 682436^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001111101121 - 2³⁸ = 726233194177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001111101129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555550560 + 500555550561.

It is an arithmetic number, because the mean of its divisors is an integer number (500555550561).

Almost surely, 2^{1001111101121} is an apocalyptic number.

It is an amenable number.

1001111101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111101121 is an equidigital number, since it uses as much as digits as its factorization.

1001111101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1001111101121 its reverse (1211011111001), we get a palindrome (2212122212122).

The spelling of 1001111101121 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred twenty-one".