2221220112101 has 16 divisors (see below), whose sum is σ = 2316450754800. Its totient is φ = 2127292876800.

The previous prime is 2221220112019. The next prime is 2221220112103. The reversal of 2221220112101 is 1012110221222.

It can be written as a sum of positive squares in 8 ways, for example, as 49646524225 + 2171573587876 = 222815^2 + 1473626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221220112101 - 2¹⁸ = 2221219849957 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2221220112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221220112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497941 + ... + 2585781.

It is an arithmetic number, because the mean of its divisors is an integer number (144778172175).

Almost surely, 2^{2221220112101} is an apocalyptic number.

It is an amenable number.

2221220112101 is a deficient number, since it is larger than the sum of its proper divisors (95230642699).

2221220112101 is a wasteful number, since it uses less digits than its factorization.

2221220112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088440.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2221220112101 its reverse (1012110221222), we get a palindrome (3233330333323).

The spelling of 2221220112101 in words is "two trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred one".