221030071125066 has 192 divisors, whose sum is σ = 568539966339072. Its totient is φ = 63045057022272.

The previous prime is 221030071125041. The next prime is 221030071125089. The reversal of 221030071125066 is 660521170030122.

221030071125066 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 30 + 0 + 7 + 112 + 506 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 221030071125066.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18625600465 + ... + 18625612331.

It is an arithmetic number, because the mean of its divisors is an integer number (2961145658016).

Almost surely, 2^{221030071125066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221030071125066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284269983169536).

221030071125066 is an abundant number, since it is smaller than the sum of its proper divisors (347509895214006).

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

221030071125066 is a wasteful number, since it uses less digits than its factorization.

221030071125066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20655 (or 20643 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 221030071125066 in words is "two hundred twenty-one trillion, thirty billion, seventy-one million, one hundred twenty-five thousand, sixty-six".