10111221100009 has 2 divisors, whose sum is σ = 10111221100010. Its totient is φ = 10111221100008.

The previous prime is 10111221099977. The next prime is 10111221100033. The reversal of 10111221100009 is 90000112211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8647128360000 + 1464092740009 = 2940600^2 + 1209997^2 .

It is an emirp because it is prime and its reverse (90000112211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111221100009 - 2⁵ = 10111221099977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111221100069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055610550004 + 5055610550005.

It is an arithmetic number, because the mean of its divisors is an integer number (5055610550005).

Almost surely, 2^{10111221100009} is an apocalyptic number.

It is an amenable number.

10111221100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111221100009 is an equidigital number, since it uses as much as digits as its factorization.

10111221100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10111221100009 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one million, one hundred thousand, nine".