10001011100009 has 2 divisors, whose sum is σ = 10001011100010. Its totient is φ = 10001011100008.

The previous prime is 10001011099999. The next prime is 10001011100029. The reversal of 10001011100009 is 90000111010001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7924241890009 + 2076769210000 = 2815003^2 + 1441100^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001011100009 - 2¹² = 10001011095913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001011099966 and 10001011100002.

It is not a weakly prime, because it can be changed into another prime (10001011100029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505550004 + 5000505550005.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505550005).

Almost surely, 2^{10001011100009} is an apocalyptic number.

It is an amenable number.

10001011100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001011100009 is an equidigital number, since it uses as much as digits as its factorization.

10001011100009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 10001011100009 in words is "ten trillion, one billion, eleven million, one hundred thousand, nine".