11601065500101 has 288 divisors, whose sum is σ = 22691672640000. Its totient is φ = 5569739366400.

The previous prime is 11601065500061. The next prime is 11601065500103. The reversal of 11601065500101 is 10100556010611.

11601065500101 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 1 + 0 + 6 + 550 + 0 + 101 = 666.

11601065500101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11601065500101 - 2²⁷ = 11600931282373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11601065500103) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8292397800 + ... + 8292399198.

It is an arithmetic number, because the mean of its divisors is an integer number (78790530000).

Almost surely, 2^{11601065500101} is an apocalyptic number.

11601065500101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11601065500101 is a deficient number, since it is larger than the sum of its proper divisors (11090607139899).

11601065500101 is a wasteful number, since it uses less digits than its factorization.

11601065500101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11601065500101 in words is "eleven trillion, six hundred one billion, sixty-five million, five hundred thousand, one hundred one".