100110011221 has 16 divisors (see below), whose sum is σ = 114970060800. Its totient is φ = 86210751600.

The previous prime is 100110011201. The next prime is 100110011227. The reversal of 100110011221 is 122110011001.

It is a cyclic number.

It is not a de Polignac number, because 100110011221 - 2⁵ = 100110011189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110011198 and 100110011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110011227) 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 15 ways as a sum of consecutive naturals, for example, 3173436 + ... + 3204826.

It is an arithmetic number, because the mean of its divisors is an integer number (7185628800).

Almost surely, 2^100110011221 is an apocalyptic number.

100110011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110011221 is a deficient number, since it is larger than the sum of its proper divisors (14860049579).

100110011221 is a wasteful number, since it uses less digits than its factorization.

100110011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46680.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110011221 its reverse (122110011001), we get a palindrome (222220022222).

It can be divided in two parts, 10011001 and 1221, that multiplied together give a palindrome (12223432221).

The spelling of 100110011221 in words is "one hundred billion, one hundred ten million, eleven thousand, two hundred twenty-one".