10201175145 has 96 divisors (see below), whose sum is σ = 21318835200. Its totient is φ = 4408152192.

The previous prime is 10201175143. The next prime is 10201175161. The reversal of 10201175145 is 54157110201.

10201175145 is a `hidden beast` number, since 10 + 20 + 117 + 514 + 5 = 666.

It is not a de Polignac number, because 10201175145 - 2¹ = 10201175143 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10201175141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3128526 + ... + 3131784.

It is an arithmetic number, because the mean of its divisors is an integer number (222071200).

Almost surely, 2^10201175145 is an apocalyptic number.

10201175145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10201175145 is an abundant number, since it is smaller than the sum of its proper divisors (11117660055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201175145 is a wasteful number, since it uses less digits than its factorization.

10201175145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 10201175145 its reverse (54157110201), we get a palindrome (64358285346).

The spelling of 10201175145 in words is "ten billion, two hundred one million, one hundred seventy-five thousand, one hundred forty-five".