2010020022112 has 96 divisors (see below), whose sum is σ = 4156983936000. Its totient is φ = 955445414400.

The previous prime is 2010020022107. The next prime is 2010020022119. The reversal of 2010020022112 is 2112200200102.

It is a happy number.

It is a super-2 number, since 2×2010020022112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2010020022092 and 2010020022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010020022119) 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 15 ways as a sum of consecutive naturals, for example, 90648787 + ... + 90670957.

It is an arithmetic number, because the mean of its divisors is an integer number (43301916000).

Almost surely, 2^{2010020022112} 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 2010020022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078491968000).

2010020022112 is an abundant number, since it is smaller than the sum of its proper divisors (2146963913888).

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

2010020022112 is a wasteful number, since it uses less digits than its factorization.

2010020022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23820 (or 23812 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2010020022112 its reverse (2112200200102), we get a palindrome (4122220222214).

The spelling of 2010020022112 in words is "two trillion, ten billion, twenty million, twenty-two thousand, one hundred twelve".