102141012144 has 160 divisors (see below), whose sum is σ = 282091230720. Its totient is φ = 31735296000.

The previous prime is 102141012089. The next prime is 102141012227. The reversal of 102141012144 is 441210141201.

It is a self number, because there is not a number n which added to its sum of digits gives 102141012144.

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, 47929959 + ... + 47932089.

It is an arithmetic number, because the mean of its divisors is an integer number (1763070192).

Almost surely, 2^102141012144 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 102141012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141045615360).

102141012144 is an abundant number, since it is smaller than the sum of its proper divisors (179950218576).

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

102141012144 is a wasteful number, since it uses less digits than its factorization.

102141012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102141012144 its reverse (441210141201), we get a palindrome (543351153345).

The spelling of 102141012144 in words is "one hundred two billion, one hundred forty-one million, twelve thousand, one hundred forty-four".