103586587121 has 2 divisors, whose sum is σ = 103586587122. Its totient is φ = 103586587120.

The previous prime is 103586587109. The next prime is 103586587183. The reversal of 103586587121 is 121785685301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97759402225 + 5827184896 = 312665^2 + 76336^2 .

It is a cyclic number.

It is not a de Polignac number, because 103586587121 - 2³⁰ = 102512845297 is a prime.

It is a super-3 number, since 3×103586587121³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (103586517121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51793293560 + 51793293561.

It is an arithmetic number, because the mean of its divisors is an integer number (51793293561).

Almost surely, 2^103586587121 is an apocalyptic number.

It is an amenable number.

103586587121 is a deficient number, since it is larger than the sum of its proper divisors (1).

103586587121 is an equidigital number, since it uses as much as digits as its factorization.

103586587121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 403200, while the sum is 47.

The spelling of 103586587121 in words is "one hundred three billion, five hundred eighty-six million, five hundred eighty-seven thousand, one hundred twenty-one".