10117227961 has 2 divisors, whose sum is σ = 10117227962. Its totient is φ = 10117227960.

The previous prime is 10117227949. The next prime is 10117228013. The reversal of 10117227961 is 16972271101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9852547600 + 264680361 = 99260^2 + 16269^2 .

It is a cyclic number.

It is not a de Polignac number, because 10117227961 - 2¹¹ = 10117225913 is a prime.

It is a super-2 number, since 2×10117227961² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10117227961.

It is not a weakly prime, because it can be changed into another prime (10117225961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058613980 + 5058613981.

It is an arithmetic number, because the mean of its divisors is an integer number (5058613981).

Almost surely, 2^10117227961 is an apocalyptic number.

It is an amenable number.

10117227961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117227961 is an equidigital number, since it uses as much as digits as its factorization.

10117227961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10584, while the sum is 37.

The spelling of 10117227961 in words is "ten billion, one hundred seventeen million, two hundred twenty-seven thousand, nine hundred sixty-one".