100221201022021 has 4 divisors (see below), whose sum is σ = 100221357802572. Its totient is φ = 100221044241472.

The previous prime is 100221201022001. The next prime is 100221201022037. The reversal of 100221201022021 is 120220102122001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 48021587517121 + 52199613504900 = 6929761^2 + 7224930^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221201022021 - 2⁴⁵ = 65036828933189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221201021986 and 100221201022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221201022001) 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 3 ways as a sum of consecutive naturals, for example, 77427466 + ... + 78711211.

It is an arithmetic number, because the mean of its divisors is an integer number (25055339450643).

Almost surely, 2^{100221201022021} is an apocalyptic number.

It is an amenable number.

100221201022021 is a deficient number, since it is larger than the sum of its proper divisors (156780551).

100221201022021 is an equidigital number, since it uses as much as digits as its factorization.

100221201022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156780550.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100221201022021 its reverse (120220102122001), we get a palindrome (220441303144022).

The spelling of 100221201022021 in words is "one hundred trillion, two hundred twenty-one billion, two hundred one million, twenty-two thousand, twenty-one".