21221121101013 has 12 divisors (see below), whose sum is σ = 30652790383488. Its totient is φ = 14147386419240.

The previous prime is 21221121101003. The next prime is 21221121101027. The reversal of 21221121101013 is 31010112112212.

It is a happy number.

It is not a de Polignac number, because 21221121101013 - 2¹⁷ = 21221120969941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221121101003) 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 11 ways as a sum of consecutive naturals, for example, 3265756 + ... + 7287482.

It is an arithmetic number, because the mean of its divisors is an integer number (2554399198624).

Almost surely, 2^{21221121101013} is an apocalyptic number.

It is an amenable number.

21221121101013 is a deficient number, since it is larger than the sum of its proper divisors (9431669282475).

21221121101013 is a wasteful number, since it uses less digits than its factorization.

21221121101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608024 (or 4608021 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21221121101013 its reverse (31010112112212), we get a palindrome (52231233213225).

The spelling of 21221121101013 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, thirteen".