21221013112201 has 48 divisors (see below), whose sum is σ = 27002878543872. Its totient is φ = 16553748556800.

The previous prime is 21221013112147. The next prime is 21221013112217. The reversal of 21221013112201 is 10221131012212.

It is not a de Polignac number, because 21221013112201 - 2²¹ = 21221011015049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21221013112291) 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 47 ways as a sum of consecutive naturals, for example, 31454325 + ... + 32121901.

It is an arithmetic number, because the mean of its divisors is an integer number (562559969664).

Almost surely, 2^{21221013112201} is an apocalyptic number.

It is an amenable number.

21221013112201 is a deficient number, since it is larger than the sum of its proper divisors (5781865431671).

21221013112201 is a wasteful number, since it uses less digits than its factorization.

21221013112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668870 (or 668863 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 21221013112201 its reverse (10221131012212), we get a palindrome (31442144124413).

The spelling of 21221013112201 in words is "twenty-one trillion, two hundred twenty-one billion, thirteen million, one hundred twelve thousand, two hundred one".