110232120102000 has 640 divisors, whose sum is σ = 412249166364672. Its totient is φ = 25117069824000.

The previous prime is 110232120101993. The next prime is 110232120102001. The reversal of 110232120102000 is 201021232011.

110232120102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110232120102000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110232120102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54622954 + ... + 56605046.

Almost surely, 2^{110232120102000} is an apocalyptic number.

110232120102000 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 110232120102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206124583182336).

110232120102000 is an abundant number, since it is smaller than the sum of its proper divisors (302017046262672).

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

110232120102000 is a wasteful number, since it uses less digits than its factorization.

110232120102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982186 (or 1982170 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 110232120102000 its reverse (201021232011), we get a palindrome (110433141334011).

The spelling of 110232120102000 in words is "one hundred ten trillion, two hundred thirty-two billion, one hundred twenty million, one hundred two thousand".