10144101520 has 160 divisors (see below), whose sum is σ = 28953504000. Its totient is φ = 3294756864.

The previous prime is 10144101503. The next prime is 10144101523. The reversal of 10144101520 is 2510144101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (10144101523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511632 + ... + 531088.

It is an arithmetic number, because the mean of its divisors is an integer number (180959400).

Almost surely, 2^10144101520 is an apocalyptic number.

10144101520 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 10144101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476752000).

10144101520 is an abundant number, since it is smaller than the sum of its proper divisors (18809402480).

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

10144101520 is a wasteful number, since it uses less digits than its factorization.

10144101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19510 (or 19490 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 10144101520 its reverse (2510144101), we get a palindrome (12654245621).

The spelling of 10144101520 in words is "ten billion, one hundred forty-four million, one hundred one thousand, five hundred twenty".