10201140 has 72 divisors (see below), whose sum is σ = 32104800. Its totient is φ = 2719008.

The previous prime is 10201129. The next prime is 10201151. The reversal of 10201140 is 4110201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10201129) and next prime (10201151).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3811 + ... + 5909.

It is an arithmetic number, because the mean of its divisors is an integer number (445900).

Almost surely, 2^10201140 is an apocalyptic number.

10201140 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 10201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052400).

10201140 is an abundant number, since it is smaller than the sum of its proper divisors (21903660).

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

10201140 is a wasteful number, since it uses less digits than its factorization.

10201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10201140 is about 3193.9223534707. The cubic root of 10201140 is about 216.8783677054.

Adding to 10201140 its reverse (4110201), we get a palindrome (14311341).

The spelling of 10201140 in words is "ten million, two hundred one thousand, one hundred forty".