10142141120300 has 144 divisors (see below), whose sum is σ = 25357443686400. Its totient is φ = 3448988605440.

The previous prime is 10142141120213. The next prime is 10142141120303. The reversal of 10142141120300 is 302114124101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10142141120303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379856351 + ... + 379883049.

Almost surely, 2^{10142141120300} is an apocalyptic number.

10142141120300 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 10142141120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678721843200).

10142141120300 is an abundant number, since it is smaller than the sum of its proper divisors (15215302566100).

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

10142141120300 is a wasteful number, since it uses less digits than its factorization.

10142141120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31120 (or 31113 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10142141120300 its reverse (302114124101), we get a palindrome (10444255244401).

The spelling of 10142141120300 in words is "ten trillion, one hundred forty-two billion, one hundred forty-one million, one hundred twenty thousand, three hundred".