11001100100172 has 96 divisors (see below), whose sum is σ = 31732079350272. Its totient is φ = 2888607522816.

The previous prime is 11001100100171. The next prime is 11001100100173. The reversal of 11001100100172 is 27100100110011.

It is an interprime number because it is at equal distance from previous prime (11001100100171) and next prime (11001100100173).

It is not an unprimeable number, because it can be changed into a prime (11001100100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21942133 + ... + 22437900.

It is an arithmetic number, because the mean of its divisors is an integer number (330542493232).

Almost surely, 2^{11001100100172} is an apocalyptic number.

11001100100172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11001100100172 is an abundant number, since it is smaller than the sum of its proper divisors (20730979250100).

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

11001100100172 is a wasteful number, since it uses less digits than its factorization.

11001100100172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44380287 (or 44380285 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 11001100100172 its reverse (27100100110011), we get a palindrome (38101200210183).

The spelling of 11001100100172 in words is "eleven trillion, one billion, one hundred million, one hundred thousand, one hundred seventy-two".