1001123220200 has 96 divisors (see below), whose sum is σ = 2452740931200. Its totient is φ = 378966781440.

The previous prime is 1001123220199. The next prime is 1001123220211. The reversal of 1001123220200 is 20223211001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3420017 + ... + 3701183.

It is an arithmetic number, because the mean of its divisors is an integer number (25549384700).

Almost surely, 2^{1001123220200} is an apocalyptic number.

1001123220200 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 1001123220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226370465600).

1001123220200 is an abundant number, since it is smaller than the sum of its proper divisors (1451617711000).

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

1001123220200 is a wasteful number, since it uses less digits than its factorization.

1001123220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282139 (or 282130 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1001123220200 its reverse (20223211001), we get a palindrome (1021346431201).

The spelling of 1001123220200 in words is "one trillion, one billion, one hundred twenty-three million, two hundred twenty thousand, two hundred".