11011100002121 has 16 divisors (see below), whose sum is σ = 11651739509760. Its totient is φ = 10376575269120.

The previous prime is 11011100002031. The next prime is 11011100002171. The reversal of 11011100002121 is 12120000111011.

It is not a de Polignac number, because 11011100002121 - 2¹⁴ = 11011099985737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011100002171) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 186925745 + ... + 186984641.

It is an arithmetic number, because the mean of its divisors is an integer number (728233719360).

Almost surely, 2^{11011100002121} is an apocalyptic number.

It is an amenable number.

11011100002121 is a deficient number, since it is larger than the sum of its proper divisors (640639507639).

11011100002121 is a wasteful number, since it uses less digits than its factorization.

11011100002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110624.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11011100002121 its reverse (12120000111011), we get a palindrome (23131100113132).

The spelling of 11011100002121 in words is "eleven trillion, eleven billion, one hundred million, two thousand, one hundred twenty-one".