11101120101100 has 36 divisors (see below), whose sum is σ = 25136797173264. Its totient is φ = 4247385081280.

The previous prime is 11101120101061. The next prime is 11101120101101. The reversal of 11101120101100 is 110102110111.

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

It is not an unprimeable number, because it can be changed into a prime (11101120101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2413284679 + ... + 2413289278.

It is an arithmetic number, because the mean of its divisors is an integer number (698244365924).

Almost surely, 2^{11101120101100} is an apocalyptic number.

11101120101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101120101100 is an abundant number, since it is smaller than the sum of its proper divisors (14035677072164).

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

11101120101100 is a wasteful number, since it uses less digits than its factorization.

11101120101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826573994 (or 4826573987 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11101120101100 its reverse (110102110111), we get a palindrome (11211222211211).

The spelling of 11101120101100 in words is "eleven trillion, one hundred one billion, one hundred twenty million, one hundred one thousand, one hundred".