11101000211120 has 40 divisors (see below), whose sum is σ = 25809993117216. Its totient is φ = 4440371245568.

The previous prime is 11101000211011. The next prime is 11101000211129. The reversal of 11101000211120 is 2111200010111.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11101000211129) 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 7 ways as a sum of consecutive naturals, for example, 15412964 + ... + 16117116.

Almost surely, 2^{11101000211120} is an apocalyptic number.

11101000211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101000211120 is an abundant number, since it is smaller than the sum of its proper divisors (14708992906096).

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

11101000211120 is a wasteful number, since it uses less digits than its factorization.

11101000211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901229 (or 901223 counting only the distinct ones).

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

Adding to 11101000211120 its reverse (2111200010111), we get a palindrome (13212200221231).

The spelling of 11101000211120 in words is "eleven trillion, one hundred one billion, two hundred eleven thousand, one hundred twenty".