221221430121321 has 96 divisors (see below), whose sum is σ = 372484463539968. Its totient is φ = 123902413240320.

The previous prime is 221221430121317. The next prime is 221221430121331. The reversal of 221221430121321 is 123121034122122.

221221430121321 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 14 + 301 + 21 + 321 = 666.

It is not a de Polignac number, because 221221430121321 - 2² = 221221430121317 is a prime.

It is a super-2 number, since 2×221221430121321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221221430121331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3917683530 + ... + 3917739996.

It is an arithmetic number, because the mean of its divisors is an integer number (3880046495208).

Almost surely, 2^{221221430121321} is an apocalyptic number.

221221430121321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221221430121321 is a deficient number, since it is larger than the sum of its proper divisors (151263033418647).

221221430121321 is a wasteful number, since it uses less digits than its factorization.

221221430121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60111 (or 60108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 221221430121321 its reverse (123121034122122), we get a palindrome (344342464243443).

The spelling of 221221430121321 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, four hundred thirty million, one hundred twenty-one thousand, three hundred twenty-one".