11101121002000 has 40 divisors (see below), whose sum is σ = 26842510587672. Its totient is φ = 4440448400000.

The previous prime is 11101121001953. The next prime is 11101121002019. The reversal of 11101121002000 is 20012110111.

It can be written as a sum of positive squares in 4 ways, for example, as 3150142218496 + 7950978783504 = 1774864^2 + 2819748^2 .

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 (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2775278251 + ... + 2775282250.

Almost surely, 2^{11101121002000} is an apocalyptic number.

11101121002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101121002000 is an abundant number, since it is smaller than the sum of its proper divisors (15741389585672).

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

11101121002000 is an equidigital number, since it uses as much as digits as its factorization.

11101121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550560524 (or 5550560508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11101121002000 its reverse (20012110111), we get a palindrome (11121133112111).

It can be divided in two parts, 1110112 and 1002000, that added together give a palindrome (2112112).

The spelling of 11101121002000 in words is "eleven trillion, one hundred one billion, one hundred twenty-one million, two thousand".