122122011010221 has 64 divisors (see below), whose sum is σ = 183187319040000. Its totient is φ = 80400009868416.

The previous prime is 122122011010171. The next prime is 122122011010261. The reversal of 122122011010221 is 122010110221221.

122122011010221 is a `hidden beast` number, since 1 + 221 + 2 + 201 + 10 + 10 + 221 = 666.

It is not a de Polignac number, because 122122011010221 - 2¹⁰ = 122122011009197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122122011010194 and 122122011010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122011010261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3079281490 + ... + 3079321148.

It is an arithmetic number, because the mean of its divisors is an integer number (2862301860000).

Almost surely, 2^{122122011010221} is an apocalyptic number.

It is an amenable number.

122122011010221 is a deficient number, since it is larger than the sum of its proper divisors (61065308029779).

122122011010221 is a wasteful number, since it uses less digits than its factorization.

122122011010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43103 (or 43097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122122011010221 its reverse (122010110221221), we get a palindrome (244132121231442).

The spelling of 122122011010221 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, eleven million, ten thousand, two hundred twenty-one".