110111101122 has 64 divisors (see below), whose sum is σ = 249178923648. Its totient is φ = 32143680000.

The previous prime is 110111101103. The next prime is 110111101141. The reversal of 110111101122 is 221101111011.

It is an interprime number because it is at equal distance from previous prime (110111101103) and next prime (110111101141).

It is a junction number, because it is equal to n+sod(n) for n = 110111101098 and 110111101107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23422 + ... + 469862.

It is an arithmetic number, because the mean of its divisors is an integer number (3893420682).

Almost surely, 2^110111101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110111101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124589461824).

110111101122 is an abundant number, since it is smaller than the sum of its proper divisors (139067822526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110111101122 is a wasteful number, since it uses less digits than its factorization.

110111101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446595.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110111101122 its reverse (221101111011), we get a palindrome (331212212133).

It can be divided in two parts, 1101111011 and 22, that multiplied together give a palindrome (24224442242).

The spelling of 110111101122 in words is "one hundred ten billion, one hundred eleven million, one hundred one thousand, one hundred twenty-two".