10032141114 has 80 divisors (see below), whose sum is σ = 22753130400. Its totient is φ = 3303594720.

The previous prime is 10032141107. The next prime is 10032141131. The reversal of 10032141114 is 41114123001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4778437 + ... + 4780535.

It is an arithmetic number, because the mean of its divisors is an integer number (284414130).

Almost surely, 2^10032141114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032141114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376565200).

10032141114 is an abundant number, since it is smaller than the sum of its proper divisors (12720989286).

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

10032141114 is a wasteful number, since it uses less digits than its factorization.

10032141114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10032141114 its reverse (41114123001), we get a palindrome (51146264115).

The spelling of 10032141114 in words is "ten billion, thirty-two million, one hundred forty-one thousand, one hundred fourteen".