10000011117101 has 2 divisors, whose sum is σ = 10000011117102. Its totient is φ = 10000011117100.

The previous prime is 10000011117059. The next prime is 10000011117133. The reversal of 10000011117101 is 10171111000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9271081074025 + 728930043076 = 3044845^2 + 853774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000011117101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000011117181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005558550 + 5000005558551.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005558551).

Almost surely, 2^{10000011117101} is an apocalyptic number.

It is an amenable number.

10000011117101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000011117101 is an equidigital number, since it uses as much as digits as its factorization.

10000011117101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 10000011117101 its reverse (10171111000001), we get a palindrome (20171122117102).

The spelling of 10000011117101 in words is "ten trillion, eleven million, one hundred seventeen thousand, one hundred one".