101191721706 has 96 divisors (see below), whose sum is σ = 242278367760. Its totient is φ = 30380163072.

The previous prime is 101191721681. The next prime is 101191721713. The reversal of 101191721706 is 607127191101.

It can be written as a sum of positive squares in 8 ways, for example, as 6681591081 + 94510130625 = 81741^2 + 307425^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952306 + ... + 1053218.

Almost surely, 2^101191721706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101191721706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121139183880).

101191721706 is an abundant number, since it is smaller than the sum of its proper divisors (141086646054).

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

101191721706 is a wasteful number, since it uses less digits than its factorization.

101191721706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101080 (or 101077 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 36.

The spelling of 101191721706 in words is "one hundred one billion, one hundred ninety-one million, seven hundred twenty-one thousand, seven hundred six".