100111220111221 has 64 divisors (see below), whose sum is σ = 112206552480000. Its totient is φ = 88559767296000.

The previous prime is 100111220111213. The next prime is 100111220111293. The reversal of 100111220111221 is 122111022111001.

It is not a de Polignac number, because 100111220111221 - 2³ = 100111220111213 is a prime.

It is a super-2 number, since 2×100111220111221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100111220111195 and 100111220111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111220411221) 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 63 ways as a sum of consecutive naturals, for example, 14921925415 + ... + 14921932123.

It is an arithmetic number, because the mean of its divisors is an integer number (1753227382500).

Almost surely, 2^{100111220111221} is an apocalyptic number.

100111220111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111220111221 is a deficient number, since it is larger than the sum of its proper divisors (12095332368779).

100111220111221 is a wasteful number, since it uses less digits than its factorization.

100111220111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798.

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

Adding to 100111220111221 its reverse (122111022111001), we get a palindrome (222222242222222).

The spelling of 100111220111221 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty million, one hundred eleven thousand, two hundred twenty-one".