2110001222112 has 384 divisors, whose sum is σ = 6658616918016. Its totient is φ = 572382720000.

The previous prime is 2110001222107. The next prime is 2110001222171. The reversal of 2110001222112 is 2112221000112.

It is a junction number, because it is equal to n+sod(n) for n = 2110001222091 and 2110001222100.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 312080812 + ... + 312087572.

It is an arithmetic number, because the mean of its divisors is an integer number (17340148224).

Almost surely, 2^{2110001222112} 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 2110001222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329308459008).

2110001222112 is an abundant number, since it is smaller than the sum of its proper divisors (4548615695904).

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

2110001222112 is a wasteful number, since it uses less digits than its factorization.

2110001222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2110001222112 its reverse (2112221000112), we get a palindrome (4222222222224).

The spelling of 2110001222112 in words is "two trillion, one hundred ten billion, one million, two hundred twenty-two thousand, one hundred twelve".