10142144100 has 432 divisors, whose sum is σ = 36033693696. Its totient is φ = 2364768000.

The previous prime is 10142144093. The next prime is 10142144119. The reversal of 10142144100 is 144124101.

10142144100 is a `hidden beast` number, since 101 + 421 + 44 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33036147 + ... + 33036453.

It is an arithmetic number, because the mean of its divisors is an integer number (83411328).

Almost surely, 2^10142144100 is an apocalyptic number.

10142144100 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 10142144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016846848).

10142144100 is an abundant number, since it is smaller than the sum of its proper divisors (25891549596).

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

10142144100 is a wasteful number, since it uses less digits than its factorization.

10142144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10142144100 its reverse (144124101), we get a palindrome (10286268201).

The spelling of 10142144100 in words is "ten billion, one hundred forty-two million, one hundred forty-four thousand, one hundred".