2212101102112 has 48 divisors (see below), whose sum is σ = 4852074794112. Its totient is φ = 984106865920.

The previous prime is 2212101102091. The next prime is 2212101102119. The reversal of 2212101102112 is 2112011012122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2212101102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66838543 + ... + 66871630.

It is an arithmetic number, because the mean of its divisors is an integer number (101084891544).

Almost surely, 2^{2212101102112} is an apocalyptic number.

2212101102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2212101102112 is an abundant number, since it is smaller than the sum of its proper divisors (2639973692000).

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

2212101102112 is a wasteful number, since it uses less digits than its factorization.

2212101102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133710241 (or 133710233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2212101102112 its reverse (2112011012122), we get a palindrome (4324112114234).

The spelling of 2212101102112 in words is "two trillion, two hundred twelve billion, one hundred one million, one hundred two thousand, one hundred twelve".