110012111000000 has 588 divisors, whose sum is σ = 301167953438352. Its totient is φ = 39840768000000.

The previous prime is 110012110999979. The next prime is 110012111000027. The reversal of 110012111000000 is 111210011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 31822998272 + ... + 31823001728.

It is an arithmetic number, because the mean of its divisors is an integer number (512190397004).

Almost surely, 2^{110012111000000} is an apocalyptic number.

110012111000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110012111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150583976719176).

110012111000000 is an abundant number, since it is smaller than the sum of its proper divisors (191155842438352).

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

110012111000000 is an frugal number, since it uses more digits than its factorization.

110012111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110012111000000 its reverse (111210011), we get a palindrome (110012222210011).

It can be divided in two parts, 1100121 and 11000000, that added together give a palindrome (12100121).

The spelling of 110012111000000 in words is "one hundred ten trillion, twelve billion, one hundred eleven million", and thus it is an aban number.