102210200202200 has 48 divisors (see below), whose sum is σ = 238190081600160. Its totient is φ = 40789221392000.

The previous prime is 102210200202179. The next prime is 102210200202203. The reversal of 102210200202200 is 2202002012201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210200202203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592780391 + ... + 592952790.

It is an arithmetic number, because the mean of its divisors is an integer number (4962293366670).

Almost surely, 2^{102210200202200} is an apocalyptic number.

102210200202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210200202200 is an abundant number, since it is smaller than the sum of its proper divisors (135979881397960).

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

102210200202200 is a wasteful number, since it uses less digits than its factorization.

102210200202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185733628 (or 1185733619 counting only the distinct ones).

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

Adding to 102210200202200 its reverse (2202002012201), we get a palindrome (104412202214401).

The spelling of 102210200202200 in words is "one hundred two trillion, two hundred ten billion, two hundred million, two hundred two thousand, two hundred".