100202021200112 has 60 divisors (see below), whose sum is σ = 210299528930760. Its totient is φ = 46230501268224.

The previous prime is 100202021200079. The next prime is 100202021200129. The reversal of 100202021200112 is 211002120202001.

It is a congruent number.

It is an unprimeable number.

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, 898043 + ... + 14184869.

It is an arithmetic number, because the mean of its divisors is an integer number (3504992148846).

Almost surely, 2^{100202021200112} 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 100202021200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105149764465380).

100202021200112 is an abundant number, since it is smaller than the sum of its proper divisors (110097507730648).

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

100202021200112 is a wasteful number, since it uses less digits than its factorization.

100202021200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13289650 (or 13289631 counting only the distinct ones).

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

Adding to 100202021200112 its reverse (211002120202001), we get a palindrome (311204141402113).

The spelling of 100202021200112 in words is "one hundred trillion, two hundred two billion, twenty-one million, two hundred thousand, one hundred twelve".