1222100012221 has 24 divisors (see below), whose sum is σ = 1436400258552. Its totient is φ = 1035293952000.

The previous prime is 1222100012191. The next prime is 1222100012251.

It is a happy number.

1222100012221 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1222100012191) and next prime (1222100012251).

It can be written as a sum of positive squares in 4 ways, for example, as 844349643225 + 377750368996 = 918885^2 + 614614^2 .

It is not a de Polignac number, because 1222100012221 - 2²¹ = 1222097915069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1222100012195 and 1222100012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222100012251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2733420 + ... + 3148933.

It is an arithmetic number, because the mean of its divisors is an integer number (59850010773).

Almost surely, 2^{1222100012221} is an apocalyptic number.

1222100012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1222100012221 is a deficient number, since it is larger than the sum of its proper divisors (214300246331).

1222100012221 is a wasteful number, since it uses less digits than its factorization.

1222100012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882493 (or 5882482 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 12221000 and 12221, that added together give a palindrome (12233221).

The spelling of 1222100012221 in words is "one trillion, two hundred twenty-two billion, one hundred million, twelve thousand, two hundred twenty-one".