102140224224 has 48 divisors (see below), whose sum is σ = 268138418688. Its totient is φ = 34044159872.

The previous prime is 102140224189. The next prime is 102140224229. The reversal of 102140224224 is 422422041201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 102140224194 and 102140224203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102140224229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1562239 + ... + 1626305.

It is an arithmetic number, because the mean of its divisors is an integer number (5586217056).

Almost surely, 2^102140224224 is an apocalyptic number.

It is an amenable number.

102140224224 is an abundant number, since it is smaller than the sum of its proper divisors (165998194464).

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

102140224224 is a wasteful number, since it uses less digits than its factorization.

102140224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80687 (or 80679 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 102140224224 its reverse (422422041201), we get a palindrome (524562265425).

The spelling of 102140224224 in words is "one hundred two billion, one hundred forty million, two hundred twenty-four thousand, two hundred twenty-four".