110564961121 has 2 divisors, whose sum is σ = 110564961122. Its totient is φ = 110564961120.

The previous prime is 110564961077. The next prime is 110564961137. The reversal of 110564961121 is 121169465011.

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., 95787155025 + 14777806096 = 309495^2 + 121564^2 .

It is a cyclic number.

It is not a de Polignac number, because 110564961121 - 2⁹ = 110564960609 is a prime.

It is a super-2 number, since 2×110564961121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110564961151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55282480560 + 55282480561.

It is an arithmetic number, because the mean of its divisors is an integer number (55282480561).

Almost surely, 2^110564961121 is an apocalyptic number.

It is an amenable number.

110564961121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110564961121 is an equidigital number, since it uses as much as digits as its factorization.

110564961121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 110564961121 in words is "one hundred ten billion, five hundred sixty-four million, nine hundred sixty-one thousand, one hundred twenty-one".