101065114125 has 64 divisors (see below), whose sum is σ = 188005559040. Its totient is φ = 53570419200.

The previous prime is 101065114123. The next prime is 101065114141. The reversal of 101065114125 is 521411560101.

101065114125 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 651 + 1 + 4 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 101065114125 - 2¹ = 101065114123 is a prime.

It is a super-3 number, since 3×101065114125³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101065114123) 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 63 ways as a sum of consecutive naturals, for example, 458269 + ... + 641981.

It is an arithmetic number, because the mean of its divisors is an integer number (2937586860).

Almost surely, 2^101065114125 is an apocalyptic number.

101065114125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101065114125 is a deficient number, since it is larger than the sum of its proper divisors (86940444915).

101065114125 is a wasteful number, since it uses less digits than its factorization.

101065114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183900 (or 183884 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 101065114125 its reverse (521411560101), we get a palindrome (622476674226).

The spelling of 101065114125 in words is "one hundred one billion, sixty-five million, one hundred fourteen thousand, one hundred twenty-five".