10111111202161 has 2 divisors, whose sum is σ = 10111111202162. Its totient is φ = 10111111202160.

The previous prime is 10111111202149. The next prime is 10111111202251. The reversal of 10111111202161 is 16120211111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6505973563761 + 3605137638400 = 2550681^2 + 1898720^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111111202161 - 2⁷ = 10111111202033 is a prime.

It is a super-2 number, since 2×10111111202161² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10111111202141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055555601080 + 5055555601081.

It is an arithmetic number, because the mean of its divisors is an integer number (5055555601081).

Almost surely, 2^{10111111202161} is an apocalyptic number.

It is an amenable number.

10111111202161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111111202161 is an equidigital number, since it uses as much as digits as its factorization.

10111111202161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 19.

Adding to 10111111202161 its reverse (16120211111101), we get a palindrome (26231322313262).

The spelling of 10111111202161 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, two hundred two thousand, one hundred sixty-one".