101741721329 has 8 divisors (see below), whose sum is σ = 107729964648. Its totient is φ = 95753859840.

The previous prime is 101741721311. The next prime is 101741721343. The reversal of 101741721329 is 923127147101.

It can be written as a sum of positive squares in 4 ways, for example, as 29085597025 + 72656124304 = 170545^2 + 269548^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101741721329 - 2²⁸ = 101473285873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101741721292 and 101741721301.

It is not an unprimeable number, because it can be changed into a prime (101741721229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596519 + ... + 747875.

It is an arithmetic number, because the mean of its divisors is an integer number (13466245581).

Almost surely, 2^101741721329 is an apocalyptic number.

It is an amenable number.

101741721329 is a deficient number, since it is larger than the sum of its proper divisors (5988243319).

101741721329 is a wasteful number, since it uses less digits than its factorization.

101741721329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190915.

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 101741721329 in words is "one hundred one billion, seven hundred forty-one million, seven hundred twenty-one thousand, three hundred twenty-nine".