100221002021221 has 16 divisors (see below), whose sum is σ = 102722644100160. Its totient is φ = 97749934318080.

The previous prime is 100221002021149. The next prime is 100221002021269. The reversal of 100221002021221 is 122120200122001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100221002021221 - 2⁹ = 100221002020709 is a prime.

It is a super-3 number, since 3×100221002021221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221002021195 and 100221002021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221002021291) 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, 9585525 + ... + 17097493.

It is an arithmetic number, because the mean of its divisors is an integer number (6420165256260).

Almost surely, 2^{100221002021221} is an apocalyptic number.

It is an amenable number.

100221002021221 is a deficient number, since it is larger than the sum of its proper divisors (2501642078939).

100221002021221 is a wasteful number, since it uses less digits than its factorization.

100221002021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7514004.

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

Adding to 100221002021221 its reverse (122120200122001), we get a palindrome (222341202143222).

The spelling of 100221002021221 in words is "one hundred trillion, two hundred twenty-one billion, two million, twenty-one thousand, two hundred twenty-one".