110010000110010 has 768 divisors, whose sum is σ = 376078973276160. Its totient is φ = 19886295121920.

The previous prime is 110010000109993. The next prime is 110010000110047. The reversal of 110010000110010 is 10011000010011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2092253901 + ... + 2092306479.

It is an arithmetic number, because the mean of its divisors is an integer number (489686163120).

Almost surely, 2^{110010000110010} is an apocalyptic number.

110010000110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010000110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188039486638080).

110010000110010 is an abundant number, since it is smaller than the sum of its proper divisors (266068973166150).

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

110010000110010 is a wasteful number, since it uses less digits than its factorization.

110010000110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52851 (or 52832 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110010000110010 its reverse (10011000010011), we get a palindrome (120021000120021).

Subtracting from 110010000110010 its reverse (10011000010011), we obtain a palindrome (99999000099999).

It can be divided in two parts, 1100100001 and 10010, that added together give a palindrome (1100110011).

The spelling of 110010000110010 in words is "one hundred ten trillion, ten billion, one hundred ten thousand, ten".