100221111000221 has 8 divisors (see below), whose sum is σ = 100351158616800. Its totient is φ = 100091130407440.

The previous prime is 100221111000209. The next prime is 100221111000287. The reversal of 100221111000221 is 122000111122001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100221111000221 - 2⁴⁶ = 29852366822557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221111000196 and 100221111000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221111600221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13763051 + ... + 19744968.

It is an arithmetic number, because the mean of its divisors is an integer number (12543894827100).

Almost surely, 2^{100221111000221} is an apocalyptic number.

It is an amenable number.

100221111000221 is a deficient number, since it is larger than the sum of its proper divisors (130047616579).

100221111000221 is a wasteful number, since it uses less digits than its factorization.

100221111000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33511899.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100221111000221 its reverse (122000111122001), we get a palindrome (222221222122222).

The spelling of 100221111000221 in words is "one hundred trillion, two hundred twenty-one billion, one hundred eleven million, two hundred twenty-one", and thus it is an aban number.