102012201111200 has 72 divisors (see below), whose sum is σ = 249039235773468. Its totient is φ = 40804560967680.

The previous prime is 102012201111181. The next prime is 102012201111209. The reversal of 102012201111200 is 2111102210201.

It can be written as a sum of positive squares in 6 ways, for example, as 9024520679056 + 92987680432144 = 3004084^2 + 9643012^2 .

It is not an unprimeable number, because it can be changed into a prime (102012201111209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119874404 + ... + 120722396.

Almost surely, 2^{102012201111200} is an apocalyptic number.

102012201111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012201111200 is an abundant number, since it is smaller than the sum of its proper divisors (147027034662268).

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

102012201111200 is a wasteful number, since it uses less digits than its factorization.

102012201111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998386 (or 998373 counting only the distinct ones).

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

Adding to 102012201111200 its reverse (2111102210201), we get a palindrome (104123303321401).

The spelling of 102012201111200 in words is "one hundred two trillion, twelve billion, two hundred one million, one hundred eleven thousand, two hundred".