10734401107121 has 2 divisors, whose sum is σ = 10734401107122. Its totient is φ = 10734401107120.

The previous prime is 10734401107091. The next prime is 10734401107159. The reversal of 10734401107121 is 12170110443701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6951453906721 + 3782947200400 = 2636561^2 + 1944980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10734401107121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10734401109121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5367200553560 + 5367200553561.

It is an arithmetic number, because the mean of its divisors is an integer number (5367200553561).

Almost surely, 2^{10734401107121} is an apocalyptic number.

It is an amenable number.

10734401107121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10734401107121 is an equidigital number, since it uses as much as digits as its factorization.

10734401107121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 10734401107121 in words is "ten trillion, seven hundred thirty-four billion, four hundred one million, one hundred seven thousand, one hundred twenty-one".