10124141000 has 64 divisors (see below), whose sum is σ = 23759190000. Its totient is φ = 4037913600.

The previous prime is 10124140991. The next prime is 10124141023. The reversal of 10124141000 is 14142101.

It can be written as a sum of positive squares in 8 ways, for example, as 78889924 + 10045251076 = 8882^2 + 100226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334496 + ... + 363504.

Almost surely, 2^10124141000 is an apocalyptic number.

10124141000 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 10124141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879595000).

10124141000 is an abundant number, since it is smaller than the sum of its proper divisors (13635049000).

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

10124141000 is a wasteful number, since it uses less digits than its factorization.

10124141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29379 (or 29365 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10124141000 its reverse (14142101), we get a palindrome (10138283101).

It can be divided in two parts, 101241 and 41000, that added together give a palindrome (142241).

The spelling of 10124141000 in words is "ten billion, one hundred twenty-four million, one hundred forty-one thousand".