110002212111121 has 32 divisors (see below), whose sum is σ = 121148611143552. Its totient is φ = 99874411560000.

The previous prime is 110002212111119. The next prime is 110002212111203. The reversal of 110002212111121 is 121111212200011.

It is not a de Polignac number, because 110002212111121 - 2¹ = 110002212111119 is a prime.

It is a super-2 number, since 2×110002212111121² (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 = 110002212111095 and 110002212111104.

It is not an unprimeable number, because it can be changed into a prime (110002212118121) 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 31 ways as a sum of consecutive naturals, for example, 11386209031 + ... + 11386218691.

It is an arithmetic number, because the mean of its divisors is an integer number (3785894098236).

Almost surely, 2^{110002212111121} is an apocalyptic number.

110002212111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110002212111121 is a deficient number, since it is larger than the sum of its proper divisors (11146399032431).

110002212111121 is an frugal number, since it uses more digits than its factorization.

110002212111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19726 (or 19704 counting only the distinct ones).

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

Adding to 110002212111121 its reverse (121111212200011), we get a palindrome (231113424311132).

The spelling of 110002212111121 in words is "one hundred ten trillion, two billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty-one".