122201000221221 has 96 divisors (see below), whose sum is σ = 181638015736320. Its totient is φ = 79137361884672.

The previous prime is 122201000221193. The next prime is 122201000221231. The reversal of 122201000221221 is 122122000102221.

It is a happy number.

122201000221221 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 0 + 0 + 0 + 221 + 221 = 666.

It is not a de Polignac number, because 122201000221221 - 2⁷ = 122201000221093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122201000221194 and 122201000221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201000221231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17069559240 + ... + 17069566398.

It is an arithmetic number, because the mean of its divisors is an integer number (1892062663920).

Almost surely, 2^{122201000221221} is an apocalyptic number.

It is an amenable number.

122201000221221 is a deficient number, since it is larger than the sum of its proper divisors (59437015515099).

122201000221221 is a wasteful number, since it uses less digits than its factorization.

122201000221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8275 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122201000221221 its reverse (122122000102221), we get a palindrome (244323000323442).

The spelling of 122201000221221 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty-one thousand, two hundred twenty-one".