110100122111221 has 8 divisors (see below), whose sum is σ = 123038717393088. Its totient is φ = 97649775708000.

The previous prime is 110100122111129. The next prime is 110100122111237. The reversal of 110100122111221 is 122111221001011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110100122111221 - 2¹³ = 110100122103029 is a prime.

It is a super-2 number, since 2×110100122111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100122111195 and 110100122111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100122111281) 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 7 ways as a sum of consecutive naturals, for example, 122062219185 + ... + 122062220086.

It is an arithmetic number, because the mean of its divisors is an integer number (15379839674136).

Almost surely, 2^{110100122111221} is an apocalyptic number.

110100122111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100122111221 is a deficient number, since it is larger than the sum of its proper divisors (12938595281867).

110100122111221 is a wasteful number, since it uses less digits than its factorization.

110100122111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244124439323.

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

Adding to 110100122111221 its reverse (122111221001011), we get a palindrome (232211343112232).

The spelling of 110100122111221 in words is "one hundred ten trillion, one hundred billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".