11110121002000 has 80 divisors (see below), whose sum is σ = 26867807229744. Its totient is φ = 4443463680000.

The previous prime is 11110121001923. The next prime is 11110121002031. The reversal of 11110121002000 is 20012101111.

It can be written as a sum of positive squares in 8 ways, for example, as 3013751552256 + 8096369449744 = 1736016^2 + 2845412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 15 ways as a sum of consecutive naturals, for example, 15000390 + ... + 15723610.

Almost surely, 2^{11110121002000} is an apocalyptic number.

11110121002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110121002000 is an abundant number, since it is smaller than the sum of its proper divisors (15757686227744).

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

11110121002000 is an equidigital number, since it uses as much as digits as its factorization.

11110121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730925 (or 730909 counting only the distinct ones).

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

Adding to 11110121002000 its reverse (20012101111), we get a palindrome (11130133103111).

The spelling of 11110121002000 in words is "eleven trillion, one hundred ten billion, one hundred twenty-one million, two thousand".