1001001011200 has 288 divisors, whose sum is σ = 2600451060480. Its totient is φ = 381660364800.

The previous prime is 1001001011137. The next prime is 1001001011239. The reversal of 1001001011200 is 21101001001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106337694 + ... + 106347106.

It is an arithmetic number, because the mean of its divisors is an integer number (9029343960).

Almost surely, 2^{1001001011200} is an apocalyptic number.

1001001011200 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 1001001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300225530240).

1001001011200 is an abundant number, since it is smaller than the sum of its proper divisors (1599450049280).

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

1001001011200 is an equidigital number, since it uses as much as digits as its factorization.

1001001011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001001011200 its reverse (21101001001), we get a palindrome (1022102012201).

The spelling of 1001001011200 in words is "one trillion, one billion, one million, eleven thousand, two hundred".