1001030023200 has 144 divisors (see below), whose sum is σ = 3258874606176. Its totient is φ = 266898585600.

The previous prime is 1001030023199. The next prime is 1001030023271. The reversal of 1001030023200 is 23200301001.

It is a happy number.

It is a super-2 number, since 2×1001030023200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 16700484 + ... + 16760316.

It is an arithmetic number, because the mean of its divisors is an integer number (22631073654).

Almost surely, 2^{1001030023200} is an apocalyptic number.

1001030023200 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 1001030023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629437303088).

1001030023200 is an abundant number, since it is smaller than the sum of its proper divisors (2257844582976).

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

1001030023200 is a wasteful number, since it uses less digits than its factorization.

1001030023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66827 (or 66814 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1001030023200 its reverse (23200301001), we get a palindrome (1024230324201).

The spelling of 1001030023200 in words is "one trillion, one billion, thirty million, twenty-three thousand, two hundred".