110010001121200 has 120 divisors (see below), whose sum is σ = 267944330054592. Its totient is φ = 43400705736960.

The previous prime is 110010001121107. The next prime is 110010001121213. The reversal of 110010001121200 is 2121100010011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054087 + ... + 15377113.

Almost surely, 2^{110010001121200} is an apocalyptic number.

110010001121200 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 110010001121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133972165027296).

110010001121200 is an abundant number, since it is smaller than the sum of its proper divisors (157934328933392).

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

110010001121200 is a wasteful number, since it uses less digits than its factorization.

110010001121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323379 (or 11323368 counting only the distinct ones).

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

Adding to 110010001121200 its reverse (2121100010011), we get a palindrome (112131101131211).

The spelling of 110010001121200 in words is "one hundred ten trillion, ten billion, one million, one hundred twenty-one thousand, two hundred".