10100011009589 has 2 divisors, whose sum is σ = 10100011009590. Its totient is φ = 10100011009588.

The previous prime is 10100011009553. The next prime is 10100011009607. The reversal of 10100011009589 is 98590011000101.

10100011009589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8081182078564 + 2018828931025 = 2842742^2 + 1420855^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100011009589 - 2¹² = 10100011005493 is a prime.

It is a super-2 number, since 2×10100011009589² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100011009519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005504794 + 5050005504795.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005504795).

Almost surely, 2^{10100011009589} is an apocalyptic number.

It is an amenable number.

10100011009589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011009589 is an equidigital number, since it uses as much as digits as its factorization.

10100011009589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 35.

The spelling of 10100011009589 in words is "ten trillion, one hundred billion, eleven million, nine thousand, five hundred eighty-nine".