66112101 has 24 divisors (see below), whose sum is σ = 105056640. Its totient is φ = 40060680.

The previous prime is 66112091. The next prime is 66112103. The reversal of 66112101 is 10121166.

66112101 is a `hidden beast` number, since 661 + 1 + 2 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 66112101 - 2⁷ = 66111973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66112103) 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, 9220 + ... + 14738.

It is an arithmetic number, because the mean of its divisors is an integer number (4377360).

Almost surely, 2^66112101 is an apocalyptic number.

It is an amenable number.

66112101 is a deficient number, since it is larger than the sum of its proper divisors (38944539).

66112101 is a wasteful number, since it uses less digits than its factorization.

66112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 66112101 is about 8130.9348171044. The cubic root of 66112101 is about 404.3526741837.

Adding to 66112101 its reverse (10121166), we get a palindrome (76233267).

The spelling of 66112101 in words is "sixty-six million, one hundred twelve thousand, one hundred one".