10221221121121 has 2 divisors, whose sum is σ = 10221221121122. Its totient is φ = 10221221121120.

The previous prime is 10221221121119. The next prime is 10221221121127. The reversal of 10221221121121 is 12112112212201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8347990925521 + 1873230195600 = 2889289^2 + 1368660^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221221121121 - 2¹ = 10221221121119 is a prime.

It is a super-2 number, since 2×10221221121121² (a number of 27 digits) contains 22 as substring.

Together with 10221221121119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10221221121127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110610560560 + 5110610560561.

It is an arithmetic number, because the mean of its divisors is an integer number (5110610560561).

Almost surely, 2^{10221221121121} is an apocalyptic number.

It is an amenable number.

10221221121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221221121121 is an equidigital number, since it uses as much as digits as its factorization.

10221221121121 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 10221221121121 its reverse (12112112212201), we get a palindrome (22333333333322).

The spelling of 10221221121121 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".