100221102101221 has 2 divisors, whose sum is σ = 100221102101222. Its totient is φ = 100221102101220.

The previous prime is 100221102101201. The next prime is 100221102101269. The reversal of 100221102101221 is 122101201122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71326284449121 + 28894817652100 = 8445489^2 + 5375390^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221102101221 - 2³⁵ = 100186742362853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221102101195 and 100221102101204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221102101201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110551050610 + 50110551050611.

It is an arithmetic number, because the mean of its divisors is an integer number (50110551050611).

Almost surely, 2^{100221102101221} is an apocalyptic number.

It is an amenable number.

100221102101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221102101221 is an equidigital number, since it uses as much as digits as its factorization.

100221102101221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100221102101221 its reverse (122101201122001), we get a palindrome (222322303223222).

The spelling of 100221102101221 in words is "one hundred trillion, two hundred twenty-one billion, one hundred two million, one hundred one thousand, two hundred twenty-one".