10211211121217 has 2 divisors, whose sum is σ = 10211211121218. Its totient is φ = 10211211121216.

The previous prime is 10211211121213. The next prime is 10211211121249. The reversal of 10211211121217 is 71212111211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8412691415296 + 1798519705921 = 2900464^2 + 1341089^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211211121217 - 2² = 10211211121213 is a prime.

It is a super-2 number, since 2×10211211121217² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10211211121192 and 10211211121201.

It is not a weakly prime, because it can be changed into another prime (10211211121211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105605560608 + 5105605560609.

It is an arithmetic number, because the mean of its divisors is an integer number (5105605560609).

Almost surely, 2^{10211211121217} is an apocalyptic number.

It is an amenable number.

10211211121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211211121217 is an equidigital number, since it uses as much as digits as its factorization.

10211211121217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 23.

Adding to 10211211121217 its reverse (71212111211201), we get a palindrome (81423322332418).

The spelling of 10211211121217 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, two hundred seventeen".