110110313032121 has 16 divisors (see below), whose sum is σ = 110882972533200. Its totient is φ = 109338569383680.

The previous prime is 110110313032087. The next prime is 110110313032123. The reversal of 110110313032121 is 121230313011011.

It can be written as a sum of positive squares in 8 ways, for example, as 51037807605625 + 59072505426496 = 7144075^2 + 7685864^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110110313032121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110110313032093 and 110110313032102.

It is not an unprimeable number, because it can be changed into a prime (110110313032123) 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 15 ways as a sum of consecutive naturals, for example, 4426176935 + ... + 4426201811.

It is an arithmetic number, because the mean of its divisors is an integer number (6930185783325).

Almost surely, 2^{110110313032121} is an apocalyptic number.

It is an amenable number.

110110313032121 is a deficient number, since it is larger than the sum of its proper divisors (772659501079).

110110313032121 is a wasteful number, since it uses less digits than its factorization.

110110313032121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42044.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 110110313032121 its reverse (121230313011011), we get a palindrome (231340626043132).

The spelling of 110110313032121 in words is "one hundred ten trillion, one hundred ten billion, three hundred thirteen million, thirty-two thousand, one hundred twenty-one".