10201186140 has 96 divisors (see below), whose sum is σ = 29160552960. Its totient is φ = 2663798016.

The previous prime is 10201186139. The next prime is 10201186207. The reversal of 10201186140 is 4168110201.

It is a self number, because there is not a number n which added to its sum of digits gives 10201186140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925542 + ... + 936498.

It is an arithmetic number, because the mean of its divisors is an integer number (303755760).

Almost surely, 2^10201186140 is an apocalyptic number.

10201186140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201186140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580276480).

10201186140 is an abundant number, since it is smaller than the sum of its proper divisors (18959366820).

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

10201186140 is a wasteful number, since it uses less digits than its factorization.

10201186140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11291 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 10201186140 its reverse (4168110201), we get a palindrome (14369296341).

The spelling of 10201186140 in words is "ten billion, two hundred one million, one hundred eighty-six thousand, one hundred forty".