102201202001200 has 120 divisors (see below), whose sum is σ = 251655015458880. Its totient is φ = 39868294502400.

The previous prime is 102201202001177. The next prime is 102201202001203. The reversal of 102201202001200 is 2100202102201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102201202001203) by changing a digit.

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, 4390215 + ... + 14955814.

It is an arithmetic number, because the mean of its divisors is an integer number (2097125128824).

Almost surely, 2^{102201202001200} is an apocalyptic number.

102201202001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201202001200 is an abundant number, since it is smaller than the sum of its proper divisors (149453813457680).

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

102201202001200 is a wasteful number, since it uses less digits than its factorization.

102201202001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19346375 (or 19346364 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102201202001200 its reverse (2100202102201), we get a palindrome (104301404103401).

The spelling of 102201202001200 in words is "one hundred two trillion, two hundred one billion, two hundred two million, one thousand, two hundred".