221021000120013 has 16 divisors (see below), whose sum is σ = 298765988353536. Its totient is φ = 145325473740720.

The previous prime is 221021000119981. The next prime is 221021000120087. The reversal of 221021000120013 is 310021000120122.

It is not a de Polignac number, because 221021000120013 - 2⁵ = 221021000119981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221021000119974 and 221021000120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021000120413) 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 15 ways as a sum of consecutive naturals, for example, 1725072145 + ... + 1725200262.

It is an arithmetic number, because the mean of its divisors is an integer number (18672874272096).

Almost surely, 2^{221021000120013} is an apocalyptic number.

It is an amenable number.

221021000120013 is a deficient number, since it is larger than the sum of its proper divisors (77744988233523).

221021000120013 is a wasteful number, since it uses less digits than its factorization.

221021000120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450272704.

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

Adding to 221021000120013 its reverse (310021000120122), we get a palindrome (531042000240135).

The spelling of 221021000120013 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twenty thousand, thirteen".