1010112121217 has 2 divisors, whose sum is σ = 1010112121218. Its totient is φ = 1010112121216.

The previous prime is 1010112121129. The next prime is 1010112121223. The reversal of 1010112121217 is 7121212110101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 986136385936 + 23975735281 = 993044^2 + 154841^2 .

It is an emirp because it is prime and its reverse (7121212110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010112121217 - 2³⁴ = 992932252033 is a prime.

It is a super-2 number, since 2×1010112121217² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010112121247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505056060608 + 505056060609.

It is an arithmetic number, because the mean of its divisors is an integer number (505056060609).

Almost surely, 2^{1010112121217} is an apocalyptic number.

It is an amenable number.

1010112121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010112121217 is an equidigital number, since it uses as much as digits as its factorization.

1010112121217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 1010112121217 its reverse (7121212110101), we get a palindrome (8131324231318).

The spelling of 1010112121217 in words is "one trillion, ten billion, one hundred twelve million, one hundred twenty-one thousand, two hundred seventeen".