11011101010100 has 18 divisors (see below), whose sum is σ = 23894089192134. Its totient is φ = 4404440404000.

The previous prime is 11011101010097. The next prime is 11011101010103. The reversal of 11011101010100 is 101010111011.

It is an interprime number because it is at equal distance from previous prime (11011101010097) and next prime (11011101010103).

It can be written as a sum of positive squares in 3 ways, for example, as 2910906875044 + 8100194135056 = 1706138^2 + 2846084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011101010103) 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 5 ways as a sum of consecutive naturals, for example, 55055504951 + ... + 55055505150.

It is an arithmetic number, because the mean of its divisors is an integer number (1327449399563).

Almost surely, 2^{11011101010100} is an apocalyptic number.

11011101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011101010100 is an abundant number, since it is smaller than the sum of its proper divisors (12882988182034).

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

11011101010100 is a wasteful number, since it uses less digits than its factorization.

11011101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110111010115 (or 110111010108 counting only the distinct ones).

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

Adding to 11011101010100 its reverse (101010111011), we get a palindrome (11112111121111).

The spelling of 11011101010100 in words is "eleven trillion, eleven billion, one hundred one million, ten thousand, one hundred".