20202100102112 has 192 divisors, whose sum is σ = 43338844838016. Its totient is φ = 9232255549440.

The previous prime is 20202100102111. The next prime is 20202100102133. The reversal of 20202100102112 is 21120100120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202100102111) 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 31 ways as a sum of consecutive naturals, for example, 5464455848 + ... + 5464459544.

It is an arithmetic number, because the mean of its divisors is an integer number (225723150198).

Almost surely, 2^{20202100102112} 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 20202100102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669422419008).

20202100102112 is an abundant number, since it is smaller than the sum of its proper divisors (23136744735904).

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

20202100102112 is a wasteful number, since it uses less digits than its factorization.

20202100102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4821 counting only the distinct ones).

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

Adding to 20202100102112 its reverse (21120100120202), we get a palindrome (41322200222314).

The spelling of 20202100102112 in words is "twenty trillion, two hundred two billion, one hundred million, one hundred two thousand, one hundred twelve".