66101017212 has 216 divisors, whose sum is σ = 177266653200. Its totient is φ = 20753341440.

The previous prime is 66101017183. The next prime is 66101017243. The reversal of 66101017212 is 21271010166.

It is a happy number.

66101017212 is a `hidden beast` number, since 6 + 610 + 10 + 17 + 21 + 2 = 666.

It is a super-3 number, since 3×66101017212³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 443630914 + ... + 443631062.

It is an arithmetic number, because the mean of its divisors is an integer number (820678950).

Almost surely, 2^66101017212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66101017212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88633326600).

66101017212 is an abundant number, since it is smaller than the sum of its proper divisors (111165635988).

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

66101017212 is a wasteful number, since it uses less digits than its factorization.

66101017212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 66101017212 its reverse (21271010166), we get a palindrome (87372027378).

The spelling of 66101017212 in words is "sixty-six billion, one hundred one million, seventeen thousand, two hundred twelve".