1001352501200 has 120 divisors (see below), whose sum is σ = 2430887570976. Its totient is φ = 396360000000.

The previous prime is 1001352501143. The next prime is 1001352501203. The reversal of 1001352501200 is 21052531001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001352501203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88995575 + ... + 89006825.

Almost surely, 2^{1001352501200} is an apocalyptic number.

1001352501200 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 1001352501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215443785488).

1001352501200 is an abundant number, since it is smaller than the sum of its proper divisors (1429535069776).

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

1001352501200 is a wasteful number, since it uses less digits than its factorization.

1001352501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13573 (or 13562 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 1001352501200 in words is "one trillion, one billion, three hundred fifty-two million, five hundred one thousand, two hundred".