100011101001100 has 72 divisors (see below), whose sum is σ = 217391338070816. Its totient is φ = 39936758400000.

The previous prime is 100011101001067. The next prime is 100011101001101. The reversal of 100011101001100 is 1100101110001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100011101001101) 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 23 ways as a sum of consecutive naturals, for example, 624673060 + ... + 624833140.

Almost surely, 2^{100011101001100} is an apocalyptic number.

100011101001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011101001100 is an abundant number, since it is smaller than the sum of its proper divisors (117380237069716).

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

100011101001100 is a wasteful number, since it uses less digits than its factorization.

100011101001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170627 (or 170620 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100011101001100 its reverse (1100101110001), we get a palindrome (101111202111101).

The spelling of 100011101001100 in words is "one hundred trillion, eleven billion, one hundred one million, one thousand, one hundred".