100222221122221 has 8 divisors (see below), whose sum is σ = 109333446905088. Its totient is φ = 91111014468000.

The previous prime is 100222221122207. The next prime is 100222221122251. The reversal of 100222221122221 is 122221122222001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100222221122221 is a prime.

It is a super-2 number, since 2×100222221122221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100222221122192 and 100222221122201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222221122251) 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, 7557241 + ... + 16048561.

It is an arithmetic number, because the mean of its divisors is an integer number (13666680863136).

Almost surely, 2^{100222221122221} is an apocalyptic number.

100222221122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222221122221 is a deficient number, since it is larger than the sum of its proper divisors (9111225782867).

100222221122221 is a wasteful number, since it uses less digits than its factorization.

100222221122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9564323.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 100222221122221 its reverse (122221122222001), we get a palindrome (222443343344222).

The spelling of 100222221122221 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".