101000010101059 has 2 divisors, whose sum is σ = 101000010101060. Its totient is φ = 101000010101058.

The previous prime is 101000010101051. The next prime is 101000010101117. The reversal of 101000010101059 is 950101010000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101000010101059 - 2³ = 101000010101051 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000010101051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005050529 + 50500005050530.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005050530).

Almost surely, 2^{101000010101059} is an apocalyptic number.

101000010101059 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000010101059 is an equidigital number, since it uses as much as digits as its factorization.

101000010101059 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 101000010101059 in words is "one hundred one trillion, ten million, one hundred one thousand, fifty-nine".