2221012011121 has 8 divisors (see below), whose sum is σ = 2227602744360. Its totient is φ = 2214426284928.

The previous prime is 2221012011017. The next prime is 2221012011149. The reversal of 2221012011121 is 1211102101222.

It can be written as a sum of positive squares in 4 ways, for example, as 1547896781025 + 673115230096 = 1244145^2 + 820436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2221012011121 - 2¹³ = 2221012002929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2221012011095 and 2221012011104.

It is not an unprimeable number, because it can be changed into a prime (2221012011151) 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 7 ways as a sum of consecutive naturals, for example, 362356 + ... + 2138533.

It is an arithmetic number, because the mean of its divisors is an integer number (278450343045).

Almost surely, 2^{2221012011121} is an apocalyptic number.

It is an amenable number.

2221012011121 is a deficient number, since it is larger than the sum of its proper divisors (6590733239).

2221012011121 is a wasteful number, since it uses less digits than its factorization.

2221012011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503523.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2221012011121 its reverse (1211102101222), we get a palindrome (3432114112343).

The spelling of 2221012011121 in words is "two trillion, two hundred twenty-one billion, twelve million, eleven thousand, one hundred twenty-one".