101111110100009 has 2 divisors, whose sum is σ = 101111110100010. Its totient is φ = 101111110100008.

The previous prime is 101111110099981. The next prime is 101111110100029. The reversal of 101111110100009 is 900001011111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69641478451609 + 31469631648400 = 8345147^2 + 5609780^2 .

It is an emirp because it is prime and its reverse (900001011111101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111110100009 is a prime.

It is a super-3 number, since 3×101111110100009³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101111110100009.

It is not a weakly prime, because it can be changed into another prime (101111110100029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555050004 + 50555555050005.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555050005).

Almost surely, 2^{101111110100009} is an apocalyptic number.

It is an amenable number.

101111110100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111110100009 is an equidigital number, since it uses as much as digits as its factorization.

101111110100009 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 17.

The spelling of 101111110100009 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, nine".