11000100100100 has 36 divisors (see below), whose sum is σ = 23876113432500. Its totient is φ = 4398953180160.

The previous prime is 11000100100097. The next prime is 11000100100109. The reversal of 11000100100100 is 100100100011.

It can be written as a sum of positive squares in 6 ways, for example, as 25336998976 + 10974763101124 = 159176^2 + 3312818^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

11000100100100 is a modest number, since divided by 100100100 gives 11000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11000100100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13178825 + ... + 13988624.

It is an arithmetic number, because the mean of its divisors is an integer number (663225373125).

Almost surely, 2^{11000100100100} is an apocalyptic number.

11000100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000100100100 is an abundant number, since it is smaller than the sum of its proper divisors (12876013332400).

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

11000100100100 is a wasteful number, since it uses less digits than its factorization.

11000100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27171512 (or 27171505 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11000100100100 its reverse (100100100011), we get a palindrome (11100200200111).

The spelling of 11000100100100 in words is "eleven trillion, one hundred million, one hundred thousand, one hundred".