2221021100013 has 8 divisors (see below), whose sum is σ = 2961495196800. Its totient is φ = 1480613868288.

The previous prime is 2221021099919. The next prime is 2221021100029. The reversal of 2221021100013 is 3100011201222.

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

It is not a de Polignac number, because 2221021100013 - 2¹⁷ = 2221020968941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221021099965 and 2221021100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221021100513) 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 7 ways as a sum of consecutive naturals, for example, 16638708 + ... + 16771661.

It is an arithmetic number, because the mean of its divisors is an integer number (370186899600).

Almost surely, 2^{2221021100013} is an apocalyptic number.

It is an amenable number.

2221021100013 is a deficient number, since it is larger than the sum of its proper divisors (740474096787).

2221021100013 is a wasteful number, since it uses less digits than its factorization.

2221021100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33432531.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2221021100013 its reverse (3100011201222), we get a palindrome (5321032301235).

The spelling of 2221021100013 in words is "two trillion, two hundred twenty-one billion, twenty-one million, one hundred thousand, thirteen".