100111211221 has 16 divisors (see below), whose sum is σ = 115552712704. Its totient is φ = 84955105584.

The previous prime is 100111211191. The next prime is 100111211273. The reversal of 100111211221 is 122112111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100111211221 - 2¹⁷ = 100111080149 is a prime.

It is a super-2 number, since 2×100111211221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111211521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3277606 + ... + 3308008.

It is an arithmetic number, because the mean of its divisors is an integer number (7222044544).

Almost surely, 2^100111211221 is an apocalyptic number.

It is an amenable number.

100111211221 is a deficient number, since it is larger than the sum of its proper divisors (15441501483).

100111211221 is a wasteful number, since it uses less digits than its factorization.

100111211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35080.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111211221 its reverse (122112111001), we get a palindrome (222223322222).

The spelling of 100111211221 in words is "one hundred billion, one hundred eleven million, two hundred eleven thousand, two hundred twenty-one".