100001012112221 has 8 divisors (see below), whose sum is σ = 109092085761600. Its totient is φ = 90909950554240.

The previous prime is 100001012112193. The next prime is 100001012112289. The reversal of 100001012112221 is 122211210100001.

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 100001012112221 - 2³⁴ = 99983832243037 is a prime.

It is a super-2 number, since 2×100001012112221² (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 = 100001012112196 and 100001012112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001012117221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29257760 + ... + 32496438.

It is an arithmetic number, because the mean of its divisors is an integer number (13636510720200).

Almost surely, 2^{100001012112221} is an apocalyptic number.

100001012112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001012112221 is a deficient number, since it is larger than the sum of its proper divisors (9091073649379).

100001012112221 is a wasteful number, since it uses less digits than its factorization.

100001012112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045699.

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

Adding to 100001012112221 its reverse (122211210100001), we get a palindrome (222212222212222).

The spelling of 100001012112221 in words is "one hundred trillion, one billion, twelve million, one hundred twelve thousand, two hundred twenty-one".