101013089 has 2 divisors, whose sum is σ = 101013090. Its totient is φ = 101013088.

The previous prime is 101013047. The next prime is 101013091. The reversal of 101013089 is 980310101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92486689 + 8526400 = 9617^2 + 2920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101013089 is a prime.

Together with 101013091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101013889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506544 + 50506545.

It is an arithmetic number, because the mean of its divisors is an integer number (50506545).

Almost surely, 2^101013089 is an apocalyptic number.

It is an amenable number.

101013089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013089 is an equidigital number, since it uses as much as digits as its factorization.

101013089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 101013089 is about 10050.5268021134. The cubic root of 101013089 is about 465.7210672703.

The spelling of 101013089 in words is "one hundred one million, thirteen thousand, eighty-nine".