101000101100009 has 2 divisors, whose sum is σ = 101000101100010. Its totient is φ = 101000101100008.

The previous prime is 101000101099969. The next prime is 101000101100023. The reversal of 101000101100009 is 900001101000101.

It is a happy number.

It is an a-pointer prime, because the next prime (101000101100023) can be obtained adding 101000101100009 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93895557360784 + 7104543739225 = 9689972^2 + 2665435^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000101100009 - 2¹² = 101000101095913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000101099966 and 101000101100002.

It is not a weakly prime, because it can be changed into another prime (101000101100209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050550004 + 50500050550005.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050550005).

Almost surely, 2^{101000101100009} is an apocalyptic number.

It is an amenable number.

101000101100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101100009 is an equidigital number, since it uses as much as digits as its factorization.

101000101100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101000101100009 in words is "one hundred one trillion, one hundred one million, one hundred thousand, nine".