20101022222112 has 288 divisors, whose sum is σ = 61708587922800. Its totient is φ = 6169958645760.

The previous prime is 20101022222107. The next prime is 20101022222117. The reversal of 20101022222112 is 21122222010102.

It is a happy number.

20101022222112 is a `hidden beast` number, since 201 + 0 + 10 + 222 + 221 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (20101022222107) and next prime (20101022222117).

It can be written as a sum of positive squares in 8 ways, for example, as 15068340185616 + 5032682036496 = 3881796^2 + 2243364^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (20101022222117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2973080812 + ... + 2973087572.

Almost surely, 2^{20101022222112} 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 20101022222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30854293961400).

20101022222112 is an abundant number, since it is smaller than the sum of its proper divisors (41607565700688).

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

20101022222112 is a wasteful number, since it uses less digits than its factorization.

20101022222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 8585 counting only the distinct ones).

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

Adding to 20101022222112 its reverse (21122222010102), we get a palindrome (41223244232214).

The spelling of 20101022222112 in words is "twenty trillion, one hundred one billion, twenty-two million, two hundred twenty-two thousand, one hundred twelve".