102221001220321 has 16 divisors (see below), whose sum is σ = 103209134065920. Its totient is φ = 101233482261120.

The previous prime is 102221001220291. The next prime is 102221001220357. The reversal of 102221001220321 is 123022100122201.

It is a cyclic number.

It is not a de Polignac number, because 102221001220321 - 2⁷ = 102221001220193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221001220391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7104100195 + ... + 7104114583.

It is an arithmetic number, because the mean of its divisors is an integer number (6450570879120).

Almost surely, 2^{102221001220321} is an apocalyptic number.

It is an amenable number.

102221001220321 is a deficient number, since it is larger than the sum of its proper divisors (988132845599).

102221001220321 is a wasteful number, since it uses less digits than its factorization.

102221001220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30984.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102221001220321 its reverse (123022100122201), we get a palindrome (225243101342522).

The spelling of 102221001220321 in words is "one hundred two trillion, two hundred twenty-one billion, one million, two hundred twenty thousand, three hundred twenty-one".