10001001100000 has 144 divisors (see below), whose sum is σ = 24840292525776. Its totient is φ = 3963009280000.

The previous prime is 10001001099959. The next prime is 10001001100021. The reversal of 10001001100000 is 110010001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10232664 + ... + 11167336.

It is an arithmetic number, because the mean of its divisors is an integer number (172502031429).

Almost surely, 2^{10001001100000} is an apocalyptic number.

10001001100000 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 10001001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420146262888).

10001001100000 is an abundant number, since it is smaller than the sum of its proper divisors (14839291425776).

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

10001001100000 is an frugal number, since it uses more digits than its factorization.

10001001100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934815 (or 934787 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10001001100000 its reverse (110010001), we get a palindrome (10001111110001).

The spelling of 10001001100000 in words is "ten trillion, one billion, one million, one hundred thousand".