110001120001002 has 96 divisors (see below), whose sum is σ = 253437967411200. Its totient is φ = 34362273268224.

The previous prime is 110001120000977. The next prime is 110001120001037. The reversal of 110001120001002 is 200100021100011.

It is a happy number.

It is a super-3 number, since 3×110001120001002³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144410463 + ... + 145170189.

It is an arithmetic number, because the mean of its divisors is an integer number (2639978827200).

Almost surely, 2^{110001120001002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001120001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126718983705600).

110001120001002 is an abundant number, since it is smaller than the sum of its proper divisors (143436847410198).

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

110001120001002 is a wasteful number, since it uses less digits than its factorization.

110001120001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761780 (or 761777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110001120001002 its reverse (200100021100011), we get a palindrome (310101141101013).

The spelling of 110001120001002 in words is "one hundred ten trillion, one billion, one hundred twenty million, one thousand, two".