102002211100200 has 96 divisors (see below), whose sum is σ = 319466719071360. Its totient is φ = 26920171161600.

The previous prime is 102002211100187. The next prime is 102002211100249. The reversal of 102002211100200 is 2001112200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 876249456 + ... + 876365855.

It is an arithmetic number, because the mean of its divisors is an integer number (3327778323660).

Almost surely, 2^{102002211100200} is an apocalyptic number.

102002211100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002211100200 is an abundant number, since it is smaller than the sum of its proper divisors (217464507971160).

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

102002211100200 is a wasteful number, since it uses less digits than its factorization.

102002211100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752615427 (or 1752615418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102002211100200 its reverse (2001112200201), we get a palindrome (104003323300401).

The spelling of 102002211100200 in words is "one hundred two trillion, two billion, two hundred eleven million, one hundred thousand, two hundred".