100210120144 has 20 divisors (see below), whose sum is σ = 194259949380. Its totient is φ = 50078520320.

The previous prime is 100210120139. The next prime is 100210120163. The reversal of 100210120144 is 441021012001.

It is a happy number.

100210120144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32616360000 + 67593760144 = 180600^2 + 259988^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1627567 + ... + 1688014.

It is an arithmetic number, because the mean of its divisors is an integer number (9712997469).

Almost surely, 2^100210120144 is an apocalyptic number.

It is an amenable number.

100210120144 is a deficient number, since it is larger than the sum of its proper divisors (94049829236).

100210120144 is a wasteful number, since it uses less digits than its factorization.

100210120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317478 (or 3317472 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100210120144 its reverse (441021012001), we get a palindrome (541231132145).

The spelling of 100210120144 in words is "one hundred billion, two hundred ten million, one hundred twenty thousand, one hundred forty-four".