101712000825 has 36 divisors (see below), whose sum is σ = 182194863708. Its totient is φ = 54241228800.

The previous prime is 101712000811. The next prime is 101712000827. The reversal of 101712000825 is 528000217101.

101712000825 is a nontrivial binomial coefficient, being equal to C(451026, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 30442223529 + 71269777296 = 174477^2 + 266964^2 .

It is not a de Polignac number, because 101712000825 - 2¹⁰ = 101711999801 is a prime.

It is a super-2 number, since 2×101712000825² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101712000827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4046697 + ... + 4071753.

Almost surely, 2^101712000825 is an apocalyptic number.

101712000825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101712000825 is the 451025-th triangular number and also the 225513-rd hexagonal number.

It is an amenable number.

101712000825 is a deficient number, since it is larger than the sum of its proper divisors (80482862883).

101712000825 is a wasteful number, since it uses less digits than its factorization.

101712000825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43114 (or 43106 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 101712000825 its reverse (528000217101), we get a palindrome (629712217926).

The spelling of 101712000825 in words is "one hundred one billion, seven hundred twelve million, eight hundred twenty-five", and thus it is an aban number.