100002112221 has 8 divisors (see below), whose sum is σ = 145457617824. Its totient is φ = 60607340720.

The previous prime is 100002112219. The next prime is 100002112241. The reversal of 100002112221 is 122211200001.

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 100002112221 - 2¹ = 100002112219 is a prime.

It is a super-2 number, since 2×100002112221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100002112197 and 100002112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002112211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515183486 + ... + 1515183551.

It is an arithmetic number, because the mean of its divisors is an integer number (18182202228).

Almost surely, 2^100002112221 is an apocalyptic number.

100002112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002112221 is a deficient number, since it is larger than the sum of its proper divisors (45455505603).

100002112221 is a wasteful number, since it uses less digits than its factorization.

100002112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030367051.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100002112221 its reverse (122211200001), we get a palindrome (222213312222).

The spelling of 100002112221 in words is "one hundred billion, two million, one hundred twelve thousand, two hundred twenty-one".