1001301100200 has 144 divisors (see below), whose sum is σ = 3367952768700. Its totient is φ = 266596761600.

The previous prime is 1001301100181. The next prime is 1001301100207. The reversal of 1001301100200 is 20011031001.

It can be written as a sum of positive squares in 6 ways, for example, as 514183648356 + 487117451844 = 717066^2 + 697938^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1001301100207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 719886 + ... + 1587714.

Almost surely, 2^{1001301100200} is an apocalyptic number.

1001301100200 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 1001301100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683976384350).

1001301100200 is an abundant number, since it is smaller than the sum of its proper divisors (2366651668500).

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

1001301100200 is a wasteful number, since it uses less digits than its factorization.

1001301100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868492 (or 868480 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001301100200 its reverse (20011031001), we get a palindrome (1021312131201).

The spelling of 1001301100200 in words is "one trillion, one billion, three hundred one million, one hundred thousand, two hundred".