10045020102144 has 160 divisors (see below), whose sum is σ = 26860520983296. Its totient is φ = 3335848427520.

The previous prime is 10045020102137. The next prime is 10045020102179. The reversal of 10045020102144 is 44120102054001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 749006799 + ... + 749020209.

Almost surely, 2^{10045020102144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10045020102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430260491648).

10045020102144 is an abundant number, since it is smaller than the sum of its proper divisors (16815500881152).

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

10045020102144 is a wasteful number, since it uses less digits than its factorization.

10045020102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15216 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10045020102144 its reverse (44120102054001), we get a palindrome (54165122156145).

The spelling of 10045020102144 in words is "ten trillion, forty-five billion, twenty million, one hundred two thousand, one hundred forty-four".