1001110103200 has 216 divisors, whose sum is σ = 2599334546004. Its totient is φ = 376430592000.

The previous prime is 1001110103153. The next prime is 1001110103233. The reversal of 1001110103200 is 23010111001.

1001110103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 252393702544 + 748716400656 = 502388^2 + 865284^2 .

It is a super-3 number, since 3×1001110103200³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236053080 + ... + 236057320.

Almost surely, 2^{1001110103200} is an apocalyptic number.

1001110103200 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 1001110103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299667273002).

1001110103200 is an abundant number, since it is smaller than the sum of its proper divisors (1598224442804).

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

1001110103200 is a wasteful number, since it uses less digits than its factorization.

1001110103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1001110103200 its reverse (23010111001), we get a palindrome (1024120214201).

The spelling of 1001110103200 in words is "one trillion, one billion, one hundred ten million, one hundred three thousand, two hundred".