100010110001059 has 2 divisors, whose sum is σ = 100010110001060. Its totient is φ = 100010110001058.

The previous prime is 100010110000951. The next prime is 100010110001077. The reversal of 100010110001059 is 950100011010001.

Together with previous prime (100010110000951) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100010110001059 - 2¹¹ = 100010109999011 is a prime.

It is a super-2 number, since 2×100010110001059² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100010110901059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005055000529 + 50005055000530.

It is an arithmetic number, because the mean of its divisors is an integer number (50005055000530).

Almost surely, 2^{100010110001059} is an apocalyptic number.

100010110001059 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010110001059 is an equidigital number, since it uses as much as digits as its factorization.

100010110001059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 19.

The spelling of 100010110001059 in words is "one hundred trillion, ten billion, one hundred ten million, one thousand, fifty-nine".