100111101059 has 2 divisors, whose sum is σ = 100111101060. Its totient is φ = 100111101058.

The previous prime is 100111101031. The next prime is 100111101073. The reversal of 100111101059 is 950101111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111101059 - 2¹² = 100111096963 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111101059.

It is not a weakly prime, because it can be changed into another prime (100111101659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550529 + 50055550530.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550530).

Almost surely, 2^100111101059 is an apocalyptic number.

100111101059 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111101059 is an equidigital number, since it uses as much as digits as its factorization.

100111101059 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 20.

The spelling of 100111101059 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, fifty-nine".