10521141000 has 256 divisors, whose sum is σ = 33642086400. Its totient is φ = 2736864000.

The previous prime is 10521140947. The next prime is 10521141019. The reversal of 10521141000 is 14112501.

It is a happy number.

It is a super-2 number, since 2×10521141000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24410785 + ... + 24411215.

It is an arithmetic number, because the mean of its divisors is an integer number (131414400).

Almost surely, 2^10521141000 is an apocalyptic number.

10521141000 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 10521141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821043200).

10521141000 is an abundant number, since it is smaller than the sum of its proper divisors (23120945400).

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

10521141000 is a wasteful number, since it uses less digits than its factorization.

10521141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10521141000 its reverse (14112501), we get a palindrome (10535253501).

The spelling of 10521141000 in words is "ten billion, five hundred twenty-one million, one hundred forty-one thousand".