110001121111000 has 640 divisors, whose sum is σ = 321109071716160. Its totient is φ = 35143395840000.

The previous prime is 110001121110967. The next prime is 110001121111093. The reversal of 110001121111000 is 111121100011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4122503659 + ... + 4122530341.

Almost surely, 2^{110001121111000} is an apocalyptic number.

110001121111000 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 110001121111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160554535858080).

110001121111000 is an abundant number, since it is smaller than the sum of its proper divisors (211107950605160).

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

110001121111000 is a wasteful number, since it uses less digits than its factorization.

110001121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26850 (or 26815 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110001121111000 its reverse (111121100011), we get a palindrome (110112242211011).

The spelling of 110001121111000 in words is "one hundred ten trillion, one billion, one hundred twenty-one million, one hundred eleven thousand".