102144002113140 has 192 divisors, whose sum is σ = 311273774972160. Its totient is φ = 24876332236800.

The previous prime is 102144002113121. The next prime is 102144002113171. The reversal of 102144002113140 is 41311200441201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102144002113140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249549171 + ... + 249958149.

It is an arithmetic number, because the mean of its divisors is an integer number (1621217577980).

Almost surely, 2^{102144002113140} is an apocalyptic number.

102144002113140 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 102144002113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155636887486080).

102144002113140 is an abundant number, since it is smaller than the sum of its proper divisors (209129772859020).

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

102144002113140 is a wasteful number, since it uses less digits than its factorization.

102144002113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412402 (or 412400 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102144002113140 its reverse (41311200441201), we get a palindrome (143455202554341).

The spelling of 102144002113140 in words is "one hundred two trillion, one hundred forty-four billion, two million, one hundred thirteen thousand, one hundred forty".