102002202102200 has 96 divisors (see below), whose sum is σ = 246426514360320. Its totient is φ = 39223234800000.

The previous prime is 102002202102029. The next prime is 102002202102247. The reversal of 102002202102200 is 2201202200201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53540516 + ... + 55412915.

It is an arithmetic number, because the mean of its divisors is an integer number (2566942857920).

Almost surely, 2^{102002202102200} is an apocalyptic number.

102002202102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002202102200 is an abundant number, since it is smaller than the sum of its proper divisors (144424312258120).

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

102002202102200 is a wasteful number, since it uses less digits than its factorization.

102002202102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108953629 (or 108953620 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102002202102200 its reverse (2201202200201), we get a palindrome (104203404302401).

The spelling of 102002202102200 in words is "one hundred two trillion, two billion, two hundred two million, one hundred two thousand, two hundred".