100142120144 has 40 divisors (see below), whose sum is σ = 214214226912. Its totient is φ = 44970715520.

The previous prime is 100142120107. The next prime is 100142120147. The reversal of 100142120144 is 441021241001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142120147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3413039 + ... + 3442254.

Almost surely, 2^100142120144 is an apocalyptic number.

It is an amenable number.

100142120144 is an abundant number, since it is smaller than the sum of its proper divisors (114072106768).

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

100142120144 is a wasteful number, since it uses less digits than its factorization.

100142120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855395 (or 6855389 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100142120144 its reverse (441021241001), we get a palindrome (541163361145).

The spelling of 100142120144 in words is "one hundred billion, one hundred forty-two million, one hundred twenty thousand, one hundred forty-four".