122010222010221 has 12 divisors (see below), whose sum is σ = 176248822676160. Its totient is φ = 81334685547720.

The previous prime is 122010222010207. The next prime is 122010222010249.

It is a happy number.

122010222010221 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 2 + 220 + 1 + 0 + 221 = 666.

122010222010221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122010222010221 - 2²¹ = 122010219913069 is a prime.

It is a super-3 number, since 3×122010222010221³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122010222010194 and 122010222010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010222010121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455063461 + ... + 455331498.

It is an arithmetic number, because the mean of its divisors is an integer number (14687401889680).

Almost surely, 2^{122010222010221} is an apocalyptic number.

It is an amenable number.

122010222010221 is a deficient number, since it is larger than the sum of its proper divisors (54238600665939).

122010222010221 is a wasteful number, since it uses less digits than its factorization.

122010222010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910409856 (or 910409853 counting only the distinct ones).

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

The spelling of 122010222010221 in words is "one hundred twenty-two trillion, ten billion, two hundred twenty-two million, ten thousand, two hundred twenty-one".