11505232101 has 32 divisors (see below), whose sum is σ = 16827826176. Its totient is φ = 6934248000.

The previous prime is 11505232099. The next prime is 11505232121. The reversal of 11505232101 is 10123250511.

It is not a de Polignac number, because 11505232101 - 2¹ = 11505232099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11505232121) 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 31 ways as a sum of consecutive naturals, for example, 7341420 + ... + 7342986.

It is an arithmetic number, because the mean of its divisors is an integer number (525869568).

Almost surely, 2^11505232101 is an apocalyptic number.

11505232101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11505232101 is a deficient number, since it is larger than the sum of its proper divisors (5322594075).

11505232101 is a wasteful number, since it uses less digits than its factorization.

11505232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 11505232101 its reverse (10123250511), we get a palindrome (21628482612).

It can be divided in two parts, 115052 and 32101, that added together give a triangular number (147153 = T₅₄₂).

The spelling of 11505232101 in words is "eleven billion, five hundred five million, two hundred thirty-two thousand, one hundred one".