1220122210221 has 6 divisors (see below), whose sum is σ = 1762398748110. Its totient is φ = 813414806808.

The previous prime is 1220122210211. The next prime is 1220122210231.

It is a happy number.

1220122210221 is a `hidden beast` number, since 1 + 220 + 1 + 2 + 221 + 0 + 221 = 666.

1220122210221 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1220122210211) and next prime (1220122210231).

It can be written as a sum of positive squares in only one way, i.e., 670574280996 + 549547929225 = 818886^2 + 741315^2 .

It is not a de Polignac number, because 1220122210221 - 2⁶ = 1220122210157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220122210194 and 1220122210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220122210211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67784567226 + ... + 67784567243.

It is an arithmetic number, because the mean of its divisors is an integer number (293733124685).

Almost surely, 2^{1220122210221} is an apocalyptic number.

It is an amenable number.

1220122210221 is a deficient number, since it is larger than the sum of its proper divisors (542276537889).

1220122210221 is a wasteful number, since it uses less digits than its factorization.

1220122210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135569134475 (or 135569134472 counting only the distinct ones).

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

The spelling of 1220122210221 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, two hundred ten thousand, two hundred twenty-one".