10142442144100 has 144 divisors (see below), whose sum is σ = 25289943090048. Its totient is φ = 3458521128960.

The previous prime is 10142442144089. The next prime is 10142442144181. The reversal of 10142442144100 is 144124424101.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 47 ways as a sum of consecutive naturals, for example, 769117707 + ... + 769130893.

It is an arithmetic number, because the mean of its divisors is an integer number (175624604792).

Almost surely, 2^{10142442144100} is an apocalyptic number.

10142442144100 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 10142442144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644971545024).

10142442144100 is an abundant number, since it is smaller than the sum of its proper divisors (15147500945948).

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

10142442144100 is a wasteful number, since it uses less digits than its factorization.

10142442144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19094 (or 19087 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 10142442144100 its reverse (144124424101), we get a palindrome (10286566568201).

The spelling of 10142442144100 in words is "ten trillion, one hundred forty-two billion, four hundred forty-two million, one hundred forty-four thousand, one hundred".