101072728807 has 16 divisors (see below), whose sum is σ = 103657942080. Its totient is φ = 98513356032.

The previous prime is 101072728793. The next prime is 101072728853. The reversal of 101072728807 is 708827270101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101072728807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101072720807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27515923 + ... + 27519595.

It is an arithmetic number, because the mean of its divisors is an integer number (6478621380).

Almost surely, 2^101072728807 is an apocalyptic number.

101072728807 is a deficient number, since it is larger than the sum of its proper divisors (2585213273).

101072728807 is a wasteful number, since it uses less digits than its factorization.

101072728807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002.

The product of its (nonzero) digits is 87808, while the sum is 43.

Adding to 101072728807 its reverse (708827270101), we get a palindrome (809899998908).

The spelling of 101072728807 in words is "one hundred one billion, seventy-two million, seven hundred twenty-eight thousand, eight hundred seven".