10100331140 has 48 divisors (see below), whose sum is σ = 21745314864. Its totient is φ = 3938457600.

The previous prime is 10100331121. The next prime is 10100331191. The reversal of 10100331140 is 4113300101.

It can be written as a sum of positive squares in 8 ways, for example, as 39037504 + 10061293636 = 6248^2 + 100306^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210262 + ... + 1218578.

It is an arithmetic number, because the mean of its divisors is an integer number (453027393).

Almost surely, 2^10100331140 is an apocalyptic number.

10100331140 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 10100331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872657432).

10100331140 is an abundant number, since it is smaller than the sum of its proper divisors (11644983724).

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

10100331140 is a wasteful number, since it uses less digits than its factorization.

10100331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10100331140 its reverse (4113300101), we get a palindrome (14213631241).

The spelling of 10100331140 in words is "ten billion, one hundred million, three hundred thirty-one thousand, one hundred forty".