11100002121000 has 192 divisors, whose sum is σ = 40404008146320. Its totient is φ = 2732308185600.

The previous prime is 11100002120819. The next prime is 11100002121049. The reversal of 11100002121000 is 12120000111.

It is a happy number.

11100002121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18333701604 + 11081668419396 = 135402^2 + 3328914^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47318907 + ... + 47552906.

Almost surely, 2^{11100002121000} is an apocalyptic number.

11100002121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100002121000 is an abundant number, since it is smaller than the sum of its proper divisors (29304006025320).

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

11100002121000 is a wasteful number, since it uses less digits than its factorization.

11100002121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94871853 (or 94871836 counting only the distinct ones).

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

Adding to 11100002121000 its reverse (12120000111), we get a palindrome (11112122121111).

The spelling of 11100002121000 in words is "eleven trillion, one hundred billion, two million, one hundred twenty-one thousand".