102201100200200 has 24 divisors (see below), whose sum is σ = 237617557965930. Its totient is φ = 40880440080000.

The previous prime is 102201100200191. The next prime is 102201100200229. The reversal of 102201100200200 is 2002001102201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 94913227644964 + 7287872555236 = 9742342^2 + 2699606^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255502750301 + ... + 255502750700.

Almost surely, 2^{102201100200200} is an apocalyptic number.

102201100200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201100200200 is an abundant number, since it is smaller than the sum of its proper divisors (135416457765730).

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

102201100200200 is a wasteful number, since it uses less digits than its factorization.

102201100200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511005501017 (or 511005501008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102201100200200 its reverse (2002001102201), we get a palindrome (104203101302401).

The spelling of 102201100200200 in words is "one hundred two trillion, two hundred one billion, one hundred million, two hundred thousand, two hundred".