110010010000 has 200 divisors, whose sum is σ = 299940588288. Its totient is φ = 38712000000.

The previous prime is 110010009983. The next prime is 110010010001. The reversal of 110010010000 is 10010011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (110010010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3393870 + ... + 3426130.

Almost surely, 2^110010010000 is an apocalyptic number.

110010010000 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 110010010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149970294144).

110010010000 is an abundant number, since it is smaller than the sum of its proper divisors (189930578288).

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

110010010000 is a wasteful number, since it uses less digits than its factorization.

110010010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32331 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 110010010000 its reverse (10010011), we get a palindrome (110020020011).

The spelling of 110010010000 in words is "one hundred ten billion, ten million, ten thousand".