102200100144 has 80 divisors (see below), whose sum is σ = 273504589824. Its totient is φ = 32850316800.

The previous prime is 102200100139. The next prime is 102200100203. The reversal of 102200100144 is 441001002201.

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 15 ways as a sum of consecutive naturals, for example, 295917 + ... + 540339.

Almost surely, 2^102200100144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136752294912).

102200100144 is an abundant number, since it is smaller than the sum of its proper divisors (171304489680).

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

102200100144 is a wasteful number, since it uses less digits than its factorization.

102200100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244746 (or 244740 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102200100144 its reverse (441001002201), we get a palindrome (543201102345).

The spelling of 102200100144 in words is "one hundred two billion, two hundred million, one hundred thousand, one hundred forty-four".