102205142200 has 48 divisors (see below), whose sum is σ = 271573667280. Its totient is φ = 35041762560.

The previous prime is 102205142191. The next prime is 102205142203. The reversal of 102205142200 is 2241502201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102205142203) 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, 36500437 + ... + 36503236.

It is an arithmetic number, because the mean of its divisors is an integer number (5657784735).

Almost surely, 2^102205142200 is an apocalyptic number.

102205142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102205142200 is an abundant number, since it is smaller than the sum of its proper divisors (169368525080).

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

102205142200 is a wasteful number, since it uses less digits than its factorization.

102205142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73003696 (or 73003687 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 102205142200 its reverse (2241502201), we get a palindrome (104446644401).

The spelling of 102205142200 in words is "one hundred two billion, two hundred five million, one hundred forty-two thousand, two hundred".