2111012122000 has 80 divisors (see below), whose sum is σ = 5115502055664. Its totient is φ = 842572800000.

The previous prime is 2111012121991. The next prime is 2111012122001. The reversal of 2111012122000 is 2212101112.

It can be written as a sum of positive squares in 8 ways, for example, as 377344832656 + 1733667289344 = 614284^2 + 1316688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2111012122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222801 + ... + 2066800.

Almost surely, 2^{2111012122000} is an apocalyptic number.

2111012122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111012122000 is an abundant number, since it is smaller than the sum of its proper divisors (3004489933664).

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

2111012122000 is a wasteful number, since it uses less digits than its factorization.

2111012122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290085 (or 2290069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2111012122000 its reverse (2212101112), we get a palindrome (2113224223112).

The spelling of 2111012122000 in words is "two trillion, one hundred eleven billion, twelve million, one hundred twenty-two thousand".