10011012001200 has 720 divisors, whose sum is σ = 40200515097600. Its totient is φ = 2259755366400.

The previous prime is 10011012001187. The next prime is 10011012001259. The reversal of 10011012001200 is 210021011001.

It is a happy number.

10011012001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10011012001200² (a number of 27 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 854248941 + ... + 854260659.

Almost surely, 2^{10011012001200} is an apocalyptic number.

10011012001200 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 10011012001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20100257548800).

10011012001200 is an abundant number, since it is smaller than the sum of its proper divisors (30189503096400).

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

10011012001200 is a wasteful number, since it uses less digits than its factorization.

10011012001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011012001200 its reverse (210021011001), we get a palindrome (10221033012201).

The spelling of 10011012001200 in words is "ten trillion, eleven billion, twelve million, one thousand, two hundred".