10022011002161 has 2 divisors, whose sum is σ = 10022011002162. Its totient is φ = 10022011002160.

The previous prime is 10022011002089. The next prime is 10022011002229. The reversal of 10022011002161 is 16120011022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9896655351025 + 125355651136 = 3145895^2 + 354056^2 .

It is an emirp because it is prime and its reverse (16120011022001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10022011002161 is a prime.

It is a super-2 number, since 2×10022011002161² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10022011002361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011005501080 + 5011005501081.

It is an arithmetic number, because the mean of its divisors is an integer number (5011005501081).

Almost surely, 2^{10022011002161} is an apocalyptic number.

It is an amenable number.

10022011002161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022011002161 is an equidigital number, since it uses as much as digits as its factorization.

10022011002161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10022011002161 its reverse (16120011022001), we get a palindrome (26142022024162).

The spelling of 10022011002161 in words is "ten trillion, twenty-two billion, eleven million, two thousand, one hundred sixty-one".