102110220012200 has 96 divisors (see below), whose sum is σ = 242527670985600. Its totient is φ = 39963488624640.

The previous prime is 102110220012127. The next prime is 102110220012239. The reversal of 102110220012200 is 2210022011201.

It is an unprimeable number.

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, 30924671 + ... + 34066929.

It is an arithmetic number, because the mean of its divisors is an integer number (2526329906100).

Almost surely, 2^{102110220012200} is an apocalyptic number.

102110220012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110220012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121263835492800).

102110220012200 is an abundant number, since it is smaller than the sum of its proper divisors (140417450973400).

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

102110220012200 is a wasteful number, since it uses less digits than its factorization.

102110220012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145779 (or 3145770 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102110220012200 its reverse (2210022011201), we get a palindrome (104320242023401).

The spelling of 102110220012200 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty million, twelve thousand, two hundred".