110120021011000 has 1024 divisors, whose sum is σ = 355759284142080. Its totient is φ = 30792960000000.

The previous prime is 110120021010949. The next prime is 110120021011027. The reversal of 110120021011000 is 110120021011.

110120021011000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 11122106050 + ... + 11122115950.

It is an arithmetic number, because the mean of its divisors is an integer number (347421175920).

Almost surely, 2^{110120021011000} is an apocalyptic number.

110120021011000 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 110120021011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177879642071040).

110120021011000 is an abundant number, since it is smaller than the sum of its proper divisors (245639263131080).

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

110120021011000 is a wasteful number, since it uses less digits than its factorization.

110120021011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10265 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110120021011000 its reverse (110120021011), we get a palindrome (110230141032011).

110120021011000 divided by its reverse (110120021011) gives a cube (1000 = 10³).

The spelling of 110120021011000 in words is "one hundred ten trillion, one hundred twenty billion, twenty-one million, eleven thousand".