102202214240 has 96 divisors (see below), whose sum is σ = 282363459840. Its totient is φ = 34225841664.

The previous prime is 102202214239. The next prime is 102202214243. The reversal of 102202214240 is 42412202201.

102202214240 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202214243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012910 + ... + 1109229.

It is an arithmetic number, because the mean of its divisors is an integer number (2941286040).

Almost surely, 2^102202214240 is an apocalyptic number.

102202214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202214240 is an abundant number, since it is smaller than the sum of its proper divisors (180161245600).

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

102202214240 is a wasteful number, since it uses less digits than its factorization.

102202214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122204 (or 2122196 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102202214240 its reverse (42412202201), we get a palindrome (144614416441).

The spelling of 102202214240 in words is "one hundred two billion, two hundred two million, two hundred fourteen thousand, two hundred forty".