100111112212221 has 56 divisors (see below), whose sum is σ = 163756397347200. Its totient is φ = 60668540179200.

The previous prime is 100111112212187. The next prime is 100111112212229. The reversal of 100111112212221 is 122212211111001.

It is a happy number.

100111112212221 is a `hidden beast` number, since 10 + 0 + 111 + 112 + 212 + 221 = 666.

It is not a de Polignac number, because 100111112212221 - 2¹⁰ = 100111112211197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111112212194 and 100111112212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111112212229) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 100874380 + ... + 101861978.

It is an arithmetic number, because the mean of its divisors is an integer number (2924221381200).

Almost surely, 2^{100111112212221} is an apocalyptic number.

100111112212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111112212221 is a deficient number, since it is larger than the sum of its proper divisors (63645285134979).

100111112212221 is an equidigital number, since it uses as much as digits as its factorization.

100111112212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000269 (or 1000254 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100111112212221 its reverse (122212211111001), we get a palindrome (222323323323222).

The spelling of 100111112212221 in words is "one hundred trillion, one hundred eleven billion, one hundred twelve million, two hundred twelve thousand, two hundred twenty-one".