102414240200 has 48 divisors (see below), whose sum is σ = 240788578500. Its totient is φ = 40505400320.

The previous prime is 102414240197. The next prime is 102414240293. The reversal of 102414240200 is 2042414201.

It can be written as a sum of positive squares in 6 ways, for example, as 33168422884 + 69245817316 = 182122^2 + 263146^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2859005 + ... + 2894604.

Almost surely, 2^102414240200 is an apocalyptic number.

102414240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414240200 is an abundant number, since it is smaller than the sum of its proper divisors (138374338300).

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

102414240200 is a wasteful number, since it uses less digits than its factorization.

102414240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753714 (or 5753705 counting only the distinct ones).

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

Adding to 102414240200 its reverse (2042414201), we get a palindrome (104456654401).

The spelling of 102414240200 in words is "one hundred two billion, four hundred fourteen million, two hundred forty thousand, two hundred".