102212202102200 has 72 divisors (see below), whose sum is σ = 252444687186000. Its totient is φ = 38479887828480.

The previous prime is 102212202102119. The next prime is 102212202102203. The reversal of 102212202102200 is 2201202212201.

It is a happy number.

102212202102200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212202102203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 884130800 + ... + 884246399.

Almost surely, 2^{102212202102200} is an apocalyptic number.

102212202102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212202102200 is an abundant number, since it is smaller than the sum of its proper divisors (150232485083800).

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

102212202102200 is a wasteful number, since it uses less digits than its factorization.

102212202102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768377249 (or 1768377223 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102212202102200 its reverse (2201202212201), we get a palindrome (104413404314401).

The spelling of 102212202102200 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, one hundred two thousand, two hundred".