10011001111200 has 216 divisors, whose sum is σ = 36255382624188. Its totient is φ = 2597448867840.

The previous prime is 10011001111159. The next prime is 10011001111271. The reversal of 10011001111200 is 211110011001.

It can be written as a sum of positive squares in 6 ways, for example, as 2891645834256 + 7119355276944 = 1700484^2 + 2668212^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 18523017 + ... + 19055816.

Almost surely, 2^{10011001111200} is an apocalyptic number.

10011001111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011001111200 is an abundant number, since it is smaller than the sum of its proper divisors (26244381512988).

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

10011001111200 is a wasteful number, since it uses less digits than its factorization.

10011001111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37578896 (or 37578880 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011001111200 its reverse (211110011001), we get a palindrome (10222111122201).

The spelling of 10011001111200 in words is "ten trillion, eleven billion, one million, one hundred eleven thousand, two hundred".