10011001100000 has 144 divisors (see below), whose sum is σ = 24693490265472. Its totient is φ = 3994872000000.

The previous prime is 10011001099951. The next prime is 10011001100059. The reversal of 10011001100000 is 110011001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41981105 + ... + 42218895.

It is an arithmetic number, because the mean of its divisors is an integer number (171482571288).

Almost surely, 2^{10011001100000} is an apocalyptic number.

10011001100000 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 10011001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346745132736).

10011001100000 is an abundant number, since it is smaller than the sum of its proper divisors (14682489165472).

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

10011001100000 is an frugal number, since it uses more digits than its factorization.

10011001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238247 (or 238219 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10011001100000 its reverse (110011001), we get a palindrome (10011111111001).

The spelling of 10011001100000 in words is "ten trillion, eleven billion, one million, one hundred thousand".