100111000001059 has 2 divisors, whose sum is σ = 100111000001060. Its totient is φ = 100111000001058.

The previous prime is 100111000001041. The next prime is 100111000001137. The reversal of 100111000001059 is 950100000111001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100111000001059 - 2⁹ = 100111000000547 is a prime.

It is a super-2 number, since 2×100111000001059² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100111090001059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500000529 + 50055500000530.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500000530).

Almost surely, 2^{100111000001059} is an apocalyptic number.

100111000001059 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000001059 is an equidigital number, since it uses as much as digits as its factorization.

100111000001059 is an evil number, because the sum of its binary digits is even.

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

The spelling of 100111000001059 in words is "one hundred trillion, one hundred eleven billion, one thousand, fifty-nine".