11101001010000 has 300 divisors, whose sum is σ = 39389459288256. Its totient is φ = 2691150880000.

The previous prime is 11101001009993. The next prime is 11101001010019. The reversal of 11101001010000 is 1010010111.

It is a tau number, because it is divible by the number of its divisors (300).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2100937 + ... + 5159063.

Almost surely, 2^{11101001010000} is an apocalyptic number.

11101001010000 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 11101001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19694729644128).

11101001010000 is an abundant number, since it is smaller than the sum of its proper divisors (28288458278256).

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

11101001010000 is a wasteful number, since it uses less digits than its factorization.

11101001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058180 (or 3058148 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11101001010000 its reverse (1010010111), we get a palindrome (11102011020111).

The spelling of 11101001010000 in words is "eleven trillion, one hundred one billion, one million, ten thousand".