10112001310200 has 192 divisors, whose sum is σ = 31503498156000. Its totient is φ = 2683111997440.

The previous prime is 10112001310199. The next prime is 10112001310261. The reversal of 10112001310200 is 201310021101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143216506 + ... + 143287094.

Almost surely, 2^{10112001310200} is an apocalyptic number.

10112001310200 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 10112001310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15751749078000).

10112001310200 is an abundant number, since it is smaller than the sum of its proper divisors (21391496845800).

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

10112001310200 is a wasteful number, since it uses less digits than its factorization.

10112001310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71794 (or 71785 counting only the distinct ones).

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

Adding to 10112001310200 its reverse (201310021101), we get a palindrome (10313311331301).

The spelling of 10112001310200 in words is "ten trillion, one hundred twelve billion, one million, three hundred ten thousand, two hundred".