110212102111120 has 80 divisors (see below), whose sum is σ = 260046174372480. Its totient is φ = 43431916649472.

The previous prime is 110212102111099. The next prime is 110212102111121. The reversal of 110212102111120 is 21111201212011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110212102111094 and 110212102111103.

It is not an unprimeable number, because it can be changed into a prime (110212102111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5457990 + ... + 15818149.

It is an arithmetic number, because the mean of its divisors is an integer number (3250577179656).

Almost surely, 2^{110212102111120} is an apocalyptic number.

110212102111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212102111120 is an abundant number, since it is smaller than the sum of its proper divisors (149834072261360).

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

110212102111120 is a wasteful number, since it uses less digits than its factorization.

110212102111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21277112 (or 21277106 counting only the distinct ones).

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

Adding to 110212102111120 its reverse (21111201212011), we get a palindrome (131323303323131).

The spelling of 110212102111120 in words is "one hundred ten trillion, two hundred twelve billion, one hundred two million, one hundred eleven thousand, one hundred twenty".