20102221022112 has 216 divisors, whose sum is σ = 60734315996172. Its totient is φ = 6305734656000.

The previous prime is 20102221022077. The next prime is 20102221022113. The reversal of 20102221022112 is 21122012220102.

It is a happy number.

20102221022112 is a `hidden beast` number, since 201 + 0 + 22 + 210 + 221 + 12 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14973463637136 + 5128757384976 = 3869556^2 + 2264676^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20102221022113) 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 35 ways as a sum of consecutive naturals, for example, 973887312 + ... + 973907952.

Almost surely, 2^{20102221022112} 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 20102221022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30367157998086).

20102221022112 is an abundant number, since it is smaller than the sum of its proper divisors (40632094974060).

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

20102221022112 is a wasteful number, since it uses less digits than its factorization.

20102221022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32392 (or 32364 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20102221022112 its reverse (21122012220102), we get a palindrome (41224233242214).

The spelling of 20102221022112 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".