100011010111121 has 2 divisors, whose sum is σ = 100011010111122. Its totient is φ = 100011010111120.

The previous prime is 100011010111081. The next prime is 100011010111157. The reversal of 100011010111121 is 121111010110001.

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., 94383848068225 + 5627162042896 = 9715135^2 + 2372164^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011010111121 - 2¹⁰ = 100011010110097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011010111421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005505055560 + 50005505055561.

It is an arithmetic number, because the mean of its divisors is an integer number (50005505055561).

Almost surely, 2^{100011010111121} is an apocalyptic number.

It is an amenable number.

100011010111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011010111121 is an equidigital number, since it uses as much as digits as its factorization.

100011010111121 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 11.

Adding to 100011010111121 its reverse (121111010110001), we get a palindrome (221122020221122).

The spelling of 100011010111121 in words is "one hundred trillion, eleven billion, ten million, one hundred eleven thousand, one hundred twenty-one".