20112112200102 has 256 divisors, whose sum is σ = 48417288192000. Its totient is φ = 5509600943616.

The previous prime is 20112112200097. The next prime is 20112112200109. The reversal of 20112112200102 is 20100221121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112112200109) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 888372099 + ... + 888394737.

It is an arithmetic number, because the mean of its divisors is an integer number (189130032000).

Almost surely, 2^{20112112200102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112112200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24208644096000).

20112112200102 is an abundant number, since it is smaller than the sum of its proper divisors (28305175991898).

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

20112112200102 is a wasteful number, since it uses less digits than its factorization.

20112112200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23155.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20112112200102 its reverse (20100221121102), we get a palindrome (40212333321204).

The spelling of 20112112200102 in words is "twenty trillion, one hundred twelve billion, one hundred twelve million, two hundred thousand, one hundred two".