10001001012000 has 192 divisors, whose sum is σ = 33087672229248. Its totient is φ = 2640528000000.

The previous prime is 10001001011977. The next prime is 10001001012071. The reversal of 10001001012000 is 21010010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10001001012000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2913826 + ... + 5337825.

It is an arithmetic number, because the mean of its divisors is an integer number (172331626194).

Almost surely, 2^{10001001012000} is an apocalyptic number.

10001001012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001001012000 is an abundant number, since it is smaller than the sum of its proper divisors (23086671217248).

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

10001001012000 is a wasteful number, since it uses less digits than its factorization.

10001001012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251780 (or 8251762 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001001012000 its reverse (21010010001), we get a palindrome (10022011022001).

The spelling of 10001001012000 in words is "ten trillion, one billion, one million, twelve thousand".