100101101059 has 2 divisors, whose sum is σ = 100101101060. Its totient is φ = 100101101058.

The previous prime is 100101100997. The next prime is 100101101117. The reversal of 100101101059 is 950101101001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101101059 - 2¹⁷ = 100100969987 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101101159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550529 + 50050550530.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550530).

Almost surely, 2^100101101059 is an apocalyptic number.

100101101059 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101101059 is an equidigital number, since it uses as much as digits as its factorization.

100101101059 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 100101101059 in words is "one hundred billion, one hundred one million, one hundred one thousand, fifty-nine".