100122110111221 has 64 divisors (see below), whose sum is σ = 114724043366400. Its totient is φ = 86491522656000.

The previous prime is 100122110111189. The next prime is 100122110111251. The reversal of 100122110111221 is 122111011221001.

It is not a de Polignac number, because 100122110111221 - 2⁵ = 100122110111189 is a prime.

It is a super-3 number, since 3×100122110111221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122110111195 and 100122110111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122110111251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31007155435 + ... + 31007158663.

It is an arithmetic number, because the mean of its divisors is an integer number (1792563177600).

Almost surely, 2^{100122110111221} is an apocalyptic number.

100122110111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122110111221 is a deficient number, since it is larger than the sum of its proper divisors (14601933255179).

100122110111221 is a wasteful number, since it uses less digits than its factorization.

100122110111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810.

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

Adding to 100122110111221 its reverse (122111011221001), we get a palindrome (222233121332222).

The spelling of 100122110111221 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, two hundred twenty-one".