102114430044144 has 160 divisors (see below), whose sum is σ = 307694484387840. Its totient is φ = 28578186547200.

The previous prime is 102114430044073. The next prime is 102114430044239. The reversal of 102114430044144 is 441440034411201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5396904 + ... + 15275975.

It is an arithmetic number, because the mean of its divisors is an integer number (1923090527424).

Almost surely, 2^{102114430044144} is an apocalyptic number.

102114430044144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102114430044144 is an abundant number, since it is smaller than the sum of its proper divisors (205580054343696).

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

102114430044144 is a wasteful number, since it uses less digits than its factorization.

102114430044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20673199 (or 20673193 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 102114430044144 its reverse (441440034411201), we get a palindrome (543554464455345).

The spelling of 102114430044144 in words is "one hundred two trillion, one hundred fourteen billion, four hundred thirty million, forty-four thousand, one hundred forty-four".