101051729 has 2 divisors, whose sum is σ = 101051730. Its totient is φ = 101051728.

The previous prime is 101051711. The next prime is 101051759. The reversal of 101051729 is 927150101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101042704 + 9025 = 10052^2 + 95^2 .

It is an emirp because it is prime and its reverse (927150101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101051729 - 2¹² = 101047633 is a prime.

It is a super-2 number, since 2×101051729² = 20422903867778882, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101051698 and 101051707.

It is not a weakly prime, because it can be changed into another prime (101051759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50525864 + 50525865.

It is an arithmetic number, because the mean of its divisors is an integer number (50525865).

Almost surely, 2^101051729 is an apocalyptic number.

It is an amenable number.

101051729 is a deficient number, since it is larger than the sum of its proper divisors (1).

101051729 is an equidigital number, since it uses as much as digits as its factorization.

101051729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 101051729 is about 10052.4489056150. The cubic root of 101051729 is about 465.7804429682.

The spelling of 101051729 in words is "one hundred one million, fifty-one thousand, seven hundred twenty-nine".