20100221100221 has 4 divisors (see below), whose sum is σ = 20142183984000. Its totient is φ = 20058258216444.

The previous prime is 20100221100199. The next prime is 20100221100329. The reversal of 20100221100221 is 12200112200102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 20100221100221 - 2³⁰ = 20099147358397 is a prime.

It is a super-3 number, since 3×20100221100221³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20100221100196 and 20100221100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100221160221) 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, 20981441171 + ... + 20981442128.

It is an arithmetic number, because the mean of its divisors is an integer number (5035545996000).

Almost surely, 2^{20100221100221} is an apocalyptic number.

It is an amenable number.

20100221100221 is a deficient number, since it is larger than the sum of its proper divisors (41962883779).

20100221100221 is an equidigital number, since it uses as much as digits as its factorization.

20100221100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41962883778.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20100221100221 its reverse (12200112200102), we get a palindrome (32300333300323).

The spelling of 20100221100221 in words is "twenty trillion, one hundred billion, two hundred twenty-one million, one hundred thousand, two hundred twenty-one".