100221220012111 has 16 divisors (see below), whose sum is σ = 115534376156160. Its totient is φ = 85979070535680.

The previous prime is 100221220012093. The next prime is 100221220012127. The reversal of 100221220012111 is 111210022122001.

It is not a de Polignac number, because 100221220012111 - 2¹⁵ = 100221219979343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221220012141) 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, 932878911 + ... + 932986336.

It is an arithmetic number, because the mean of its divisors is an integer number (7220898509760).

Almost surely, 2^{100221220012111} is an apocalyptic number.

100221220012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100221220012111 is a deficient number, since it is larger than the sum of its proper divisors (15313156144049).

100221220012111 is a wasteful number, since it uses less digits than its factorization.

100221220012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865865534.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100221220012111 its reverse (111210022122001), we get a palindrome (211431242134112).

The spelling of 100221220012111 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty million, twelve thousand, one hundred eleven".