10101222212161 has 2 divisors, whose sum is σ = 10101222212162. Its totient is φ = 10101222212160.

The previous prime is 10101222212119. The next prime is 10101222212173. The reversal of 10101222212161 is 16121222210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9618309795600 + 482912416561 = 3101340^2 + 694919^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101222212161 - 2²¹ = 10101220115009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101222212101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050611106080 + 5050611106081.

It is an arithmetic number, because the mean of its divisors is an integer number (5050611106081).

Almost surely, 2^{10101222212161} is an apocalyptic number.

It is an amenable number.

10101222212161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101222212161 is an equidigital number, since it uses as much as digits as its factorization.

10101222212161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 10101222212161 its reverse (16121222210101), we get a palindrome (26222444422262).

The spelling of 10101222212161 in words is "ten trillion, one hundred one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred sixty-one".