102140412144 has 80 divisors (see below), whose sum is σ = 267670820352. Its totient is φ = 33556114944.

The previous prime is 102140412007. The next prime is 102140412149. The reversal of 102140412144 is 441214041201.

102140412144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102140412149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5200647 + ... + 5220249.

Almost surely, 2^102140412144 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 102140412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133835410176).

102140412144 is an abundant number, since it is smaller than the sum of its proper divisors (165530408208).

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

102140412144 is a wasteful number, since it uses less digits than its factorization.

102140412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21174 (or 21168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102140412144 its reverse (441214041201), we get a palindrome (543354453345).

The spelling of 102140412144 in words is "one hundred two billion, one hundred forty million, four hundred twelve thousand, one hundred forty-four".