100221010201021 has 2 divisors, whose sum is σ = 100221010201022. Its totient is φ = 100221010201020.

The previous prime is 100221010201003. The next prime is 100221010201031. The reversal of 100221010201021 is 120102010122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56347091860900 + 43873918340121 = 7506470^2 + 6623739^2 .

It is an emirp because it is prime and its reverse (120102010122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100221010201021 - 2¹⁷ = 100221010069949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221010200992 and 100221010201010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221010201031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110505100510 + 50110505100511.

It is an arithmetic number, because the mean of its divisors is an integer number (50110505100511).

Almost surely, 2^{100221010201021} is an apocalyptic number.

It is an amenable number.

100221010201021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221010201021 is an equidigital number, since it uses as much as digits as its factorization.

100221010201021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100221010201021 its reverse (120102010122001), we get a palindrome (220323020323022).

The spelling of 100221010201021 in words is "one hundred trillion, two hundred twenty-one billion, ten million, two hundred one thousand, twenty-one".