66122355004101 has 24 divisors (see below), whose sum is σ = 108051794489184. Its totient is φ = 40074154546320.

The previous prime is 66122355004021. The next prime is 66122355004207. The reversal of 66122355004101 is 10140055322166.

66122355004101 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 235 + 5 + 0 + 0 + 410 + 1 = 666.

It is not a de Polignac number, because 66122355004101 - 2⁷ = 66122355003973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66122355003101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12368563546 + ... + 12368568891.

It is an arithmetic number, because the mean of its divisors is an integer number (4502158103716).

Almost surely, 2^{66122355004101} is an apocalyptic number.

It is an amenable number.

66122355004101 is a deficient number, since it is larger than the sum of its proper divisors (41929439485083).

66122355004101 is a wasteful number, since it uses less digits than its factorization.

66122355004101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24737132463 (or 24737132451 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 66122355004101 in words is "sixty-six trillion, one hundred twenty-two billion, three hundred fifty-five million, four thousand, one hundred one".