2221121221101 has 18 divisors (see below), whose sum is σ = 3297340189962. Its totient is φ = 1440727270560.

The previous prime is 2221121221091. The next prime is 2221121221103. The reversal of 2221121221101 is 1011221211222.

2221121221101 is a `hidden beast` number, since 2 + 221 + 121 + 221 + 101 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1676056479876 + 545064741225 = 1294626^2 + 738285^2 .

It is not a de Polignac number, because 2221121221101 - 2⁹ = 2221121220589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221121221103) 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 17 ways as a sum of consecutive naturals, for example, 90123270 + ... + 90147911.

It is an arithmetic number, because the mean of its divisors is an integer number (183185566109).

Almost surely, 2^{2221121221101} is an apocalyptic number.

It is an amenable number.

2221121221101 is a deficient number, since it is larger than the sum of its proper divisors (1076218968861).

2221121221101 is a wasteful number, since it uses less digits than its factorization.

2221121221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180271261 (or 180271221 counting only the distinct ones).

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

Adding to 2221121221101 its reverse (1011221211222), we get a palindrome (3232342432323).

The spelling of 2221121221101 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".