11101002002000 has 40 divisors (see below), whose sum is σ = 26842222845672. Its totient is φ = 4440400800000.

The previous prime is 11101002001861. The next prime is 11101002002003. The reversal of 11101002002000 is 20020010111.

It can be written as a sum of positive squares in 4 ways, for example, as 329425489936 + 10771576512064 = 573956^2 + 3282008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101002002003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2775248501 + ... + 2775252500.

Almost surely, 2^{11101002002000} is an apocalyptic number.

11101002002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101002002000 is an abundant number, since it is smaller than the sum of its proper divisors (15741220843672).

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

11101002002000 is an equidigital number, since it uses as much as digits as its factorization.

11101002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550501024 (or 5550501008 counting only the distinct ones).

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

Adding to 11101002002000 its reverse (20020010111), we get a palindrome (11121022012111).

The spelling of 11101002002000 in words is "eleven trillion, one hundred one billion, two million, two thousand".