11001121100020 has 12 divisors (see below), whose sum is σ = 23102354310084. Its totient is φ = 4400448440000.

The previous prime is 11001121100017. The next prime is 11001121100083. The reversal of 11001121100020 is 2000112110011.

It can be written as a sum of positive squares in 2 ways, for example, as 1600801891984 + 9400319208036 = 1265228^2 + 3065994^2 .

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

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 3 ways as a sum of consecutive naturals, for example, 275028027481 + ... + 275028027520.

It is an arithmetic number, because the mean of its divisors is an integer number (1925196192507).

Almost surely, 2^{11001121100020} is an apocalyptic number.

11001121100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001121100020 is an abundant number, since it is smaller than the sum of its proper divisors (12101233210064).

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

11001121100020 is a wasteful number, since it uses less digits than its factorization.

11001121100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550056055010 (or 550056055008 counting only the distinct ones).

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

Adding to 11001121100020 its reverse (2000112110011), we get a palindrome (13001233210031).

The spelling of 11001121100020 in words is "eleven trillion, one billion, one hundred twenty-one million, one hundred thousand, twenty".