11522505550100 has 36 divisors (see below), whose sum is σ = 25038613051200. Its totient is φ = 4602591896160.

The previous prime is 11522505550079. The next prime is 11522505550123. The reversal of 11522505550100 is 105550522511.

11522505550100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11522505550100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80056790 + ... + 80200589.

It is an arithmetic number, because the mean of its divisors is an integer number (695517029200).

Almost surely, 2^{11522505550100} is an apocalyptic number.

11522505550100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11522505550100 is an abundant number, since it is smaller than the sum of its proper divisors (13516107501100).

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

11522505550100 is a wasteful number, since it uses less digits than its factorization.

11522505550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160258112 (or 160258105 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 32.

The spelling of 11522505550100 in words is "eleven trillion, five hundred twenty-two billion, five hundred five million, five hundred fifty thousand, one hundred".