101071660221 has 64 divisors (see below), whose sum is σ = 175688663040. Its totient is φ = 56232221760.

The previous prime is 101071660211. The next prime is 101071660259. The reversal of 101071660221 is 122066170101.

It is a happy number.

101071660221 is a `hidden beast` number, since 10 + 10 + 7 + 16 + 602 + 21 = 666.

It is not a de Polignac number, because 101071660221 - 2⁹ = 101071659709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101071660211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1273716 + ... + 1350738.

It is an arithmetic number, because the mean of its divisors is an integer number (2745135360).

Almost surely, 2^101071660221 is an apocalyptic number.

It is an amenable number.

101071660221 is a deficient number, since it is larger than the sum of its proper divisors (74617002819).

101071660221 is a wasteful number, since it uses less digits than its factorization.

101071660221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77223 (or 77217 counting only the distinct ones).

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

The spelling of 101071660221 in words is "one hundred one billion, seventy-one million, six hundred sixty thousand, two hundred twenty-one".