85722172101 has 60 divisors (see below), whose sum is σ = 133999597732. Its totient is φ = 54604440576.

The previous prime is 85722172093. The next prime is 85722172117. The reversal of 85722172101 is 10127122758.

85722172101 is a `hidden beast` number, since 8 + 572 + 2 + 1 + 72 + 10 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10796249025 + 74925923076 = 103905^2 + 273726^2 .

It is not a de Polignac number, because 85722172101 - 2³ = 85722172093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85722172201) 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 59 ways as a sum of consecutive naturals, for example, 6601251 + ... + 6614223.

Almost surely, 2^85722172101 is an apocalyptic number.

85722172101 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85722172101 is a deficient number, since it is larger than the sum of its proper divisors (48277425631).

85722172101 is a wasteful number, since it uses less digits than its factorization.

85722172101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 13102 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Adding to 85722172101 its reverse (10127122758), we get a palindrome (95849294859).

The spelling of 85722172101 in words is "eighty-five billion, seven hundred twenty-two million, one hundred seventy-two thousand, one hundred one".