10072115089 has 2 divisors, whose sum is σ = 10072115090. Its totient is φ = 10072115088.

The previous prime is 10072115059. The next prime is 10072115093. The reversal of 10072115089 is 98051127001.

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., 6915585600 + 3156529489 = 83160^2 + 56183^2 .

It is a cyclic number.

It is not a de Polignac number, because 10072115089 - 2⁵ = 10072115057 is a prime.

It is a super-3 number, since 3×10072115089³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10072115029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036057544 + 5036057545.

It is an arithmetic number, because the mean of its divisors is an integer number (5036057545).

Almost surely, 2^10072115089 is an apocalyptic number.

It is an amenable number.

10072115089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072115089 is an equidigital number, since it uses as much as digits as its factorization.

10072115089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 34.

The spelling of 10072115089 in words is "ten billion, seventy-two million, one hundred fifteen thousand, eighty-nine".