102414210240 has 112 divisors (see below), whose sum is σ = 325268904960. Its totient is φ = 27301739520.

The previous prime is 102414210221. The next prime is 102414210271. The reversal of 102414210240 is 42012414201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3336081 + ... + 3366639.

Almost surely, 2^102414210240 is an apocalyptic number.

102414210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414210240 is an abundant number, since it is smaller than the sum of its proper divisors (222854694720).

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

102414210240 is a wasteful number, since it uses less digits than its factorization.

102414210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34070 (or 34060 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102414210240 its reverse (42012414201), we get a palindrome (144426624441).

The spelling of 102414210240 in words is "one hundred two billion, four hundred fourteen million, two hundred ten thousand, two hundred forty".