10001112101200 has 120 divisors (see below), whose sum is σ = 26301469785696. Its totient is φ = 3624355392000.

The previous prime is 10001112101159. The next prime is 10001112101213. The reversal of 10001112101200 is 210121110001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2589606 + ... + 5168005.

Almost surely, 2^{10001112101200} is an apocalyptic number.

10001112101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001112101200 is an abundant number, since it is smaller than the sum of its proper divisors (16300357684496).

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

10001112101200 is a wasteful number, since it uses less digits than its factorization.

10001112101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7757933 (or 7757922 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001112101200 its reverse (210121110001), we get a palindrome (10211233211201).

The spelling of 10001112101200 in words is "ten trillion, one billion, one hundred twelve million, one hundred one thousand, two hundred".