10001012001200 has 960 divisors, whose sum is σ = 29379958312320. Its totient is φ = 3228696576000.

The previous prime is 10001012001199. The next prime is 10001012001203. The reversal of 10001012001200 is 210021010001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10001012001203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21694168970 + ... + 21694169430.

It is an arithmetic number, because the mean of its divisors is an integer number (30604123242).

Almost surely, 2^{10001012001200} is an apocalyptic number.

10001012001200 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 10001012001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689979156160).

10001012001200 is an abundant number, since it is smaller than the sum of its proper divisors (19378946311120).

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

10001012001200 is a wasteful number, since it uses less digits than its factorization.

10001012001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001012001200 its reverse (210021010001), we get a palindrome (10211033011201).

The spelling of 10001012001200 in words is "ten trillion, one billion, twelve million, one thousand, two hundred".