11101101010100 has 18 divisors (see below), whose sum is σ = 24089389192134. Its totient is φ = 4440440404000.

The previous prime is 11101101010091. The next prime is 11101101010151. The reversal of 11101101010100 is 101010110111.

It can be written as a sum of positive squares in 3 ways, for example, as 3954397456 + 11097146612644 = 62884^2 + 3331238^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55505504951 + ... + 55505505150.

It is an arithmetic number, because the mean of its divisors is an integer number (1338299399563).

Almost surely, 2^{11101101010100} is an apocalyptic number.

11101101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101101010100 is an abundant number, since it is smaller than the sum of its proper divisors (12988288182034).

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

11101101010100 is a wasteful number, since it uses less digits than its factorization.

11101101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111011010115 (or 111011010108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11101101010100 its reverse (101010110111), we get a palindrome (11202111120211).

The spelling of 11101101010100 in words is "eleven trillion, one hundred one billion, one hundred one million, ten thousand, one hundred".