101111011121 has 2 divisors, whose sum is σ = 101111011122. Its totient is φ = 101111011120.

The previous prime is 101111011093. The next prime is 101111011159. The reversal of 101111011121 is 121110111101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100860232225 + 250778896 = 317585^2 + 15836^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111011121 - 2¹⁴ = 101110994737 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111011171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555505560 + 50555505561.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505561).

Almost surely, 2^101111011121 is an apocalyptic number.

It is an amenable number.

101111011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111011121 is an equidigital number, since it uses as much as digits as its factorization.

101111011121 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 101111011121 its reverse (121110111101), we get a palindrome (222221122222).

The spelling of 101111011121 in words is "one hundred one billion, one hundred eleven million, eleven thousand, one hundred twenty-one".