11100020121000 has 96 divisors (see below), whose sum is σ = 37518068039400. Its totient is φ = 2960005363200.

The previous prime is 11100020120963. The next prime is 11100020121011. The reversal of 11100020121000 is 12102000111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7296513854436 + 3803506266564 = 2701206^2 + 1950258^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 616658785 + ... + 616676784.

Almost surely, 2^{11100020121000} is an apocalyptic number.

11100020121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100020121000 is an abundant number, since it is smaller than the sum of its proper divisors (26418047918400).

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

11100020121000 is a wasteful number, since it uses less digits than its factorization.

11100020121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233335596 (or 1233335579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100020121000 its reverse (12102000111), we get a palindrome (11112122121111).

The spelling of 11100020121000 in words is "eleven trillion, one hundred billion, twenty million, one hundred twenty-one thousand".