110220211112121 has 96 divisors (see below), whose sum is σ = 177168778180992. Its totient is φ = 65461486970880.

The previous prime is 110220211112093. The next prime is 110220211112149. The reversal of 110220211112121 is 121211112022011.

It is a happy number.

110220211112121 is a `hidden beast` number, since 1 + 1 + 0 + 220 + 211 + 112 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (110220211112093) and next prime (110220211112149).

It is not a de Polignac number, because 110220211112121 - 2¹⁰ = 110220211111097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110220211112094 and 110220211112103.

It is not an unprimeable number, because it can be changed into a prime (110220211114121) 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 95 ways as a sum of consecutive naturals, for example, 23739005026 + ... + 23739009668.

It is an arithmetic number, because the mean of its divisors is an integer number (1845508106052).

Almost surely, 2^{110220211112121} is an apocalyptic number.

110220211112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110220211112121 is a deficient number, since it is larger than the sum of its proper divisors (66948567068871).

110220211112121 is a wasteful number, since it uses less digits than its factorization.

110220211112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110220211112121 its reverse (121211112022011), we get a palindrome (231431323134132).

The spelling of 110220211112121 in words is "one hundred ten trillion, two hundred twenty billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".