102102201111200 has 72 divisors (see below), whose sum is σ = 249291868674240. Its totient is φ = 40835166944000.

The previous prime is 102102201111199. The next prime is 102102201111221. The reversal of 102102201111200 is 2111102201201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3202970 + ... + 14644569.

It is an arithmetic number, because the mean of its divisors is an integer number (3462387064920).

Almost surely, 2^{102102201111200} is an apocalyptic number.

102102201111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102201111200 is an abundant number, since it is smaller than the sum of its proper divisors (147189667563040).

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

102102201111200 is a wasteful number, since it uses less digits than its factorization.

102102201111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17854710 (or 17854697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102102201111200 its reverse (2111102201201), we get a palindrome (104213303312401).

The spelling of 102102201111200 in words is "one hundred two trillion, one hundred two billion, two hundred one million, one hundred eleven thousand, two hundred".