10222121111221 has 2 divisors, whose sum is σ = 10222121111222. Its totient is φ = 10222121111220.

The previous prime is 10222121111219. The next prime is 10222121111231. The reversal of 10222121111221 is 12211112122201.

It is a happy number.

10222121111221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9318452232996 + 903668878225 = 3052614^2 + 950615^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222121111221 - 2¹ = 10222121111219 is a prime.

It is a super-2 number, since 2×10222121111221² (a number of 27 digits) contains 22 as substring.

Together with 10222121111219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222121111231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111060555610 + 5111060555611.

It is an arithmetic number, because the mean of its divisors is an integer number (5111060555611).

Almost surely, 2^{10222121111221} is an apocalyptic number.

It is an amenable number.

10222121111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222121111221 is an equidigital number, since it uses as much as digits as its factorization.

10222121111221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 10222121111221 its reverse (12211112122201), we get a palindrome (22433233233422).

The spelling of 10222121111221 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".