102220001200112 has 80 divisors (see below), whose sum is σ = 207840988753920. Its totient is φ = 48638858054400.

The previous prime is 102220001200111. The next prime is 102220001200117. The reversal of 102220001200112 is 211002100022201.

102220001200112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220001200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127249673 + ... + 128050455.

It is an arithmetic number, because the mean of its divisors is an integer number (2598012359424).

Almost surely, 2^{102220001200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220001200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103920494376960).

102220001200112 is an abundant number, since it is smaller than the sum of its proper divisors (105620987553808).

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

102220001200112 is a wasteful number, since it uses less digits than its factorization.

102220001200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805102 (or 805096 counting only the distinct ones).

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

Adding to 102220001200112 its reverse (211002100022201), we get a palindrome (313222101222313).

The spelling of 102220001200112 in words is "one hundred two trillion, two hundred twenty billion, one million, two hundred thousand, one hundred twelve".