2211001002112 has 64 divisors (see below), whose sum is σ = 5034339858240. Its totient is φ = 947503272960.

The previous prime is 2211001002059. The next prime is 2211001002127. The reversal of 2211001002112 is 2112001001122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2211001002092 and 2211001002101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13439778 + ... + 13603294.

It is an arithmetic number, because the mean of its divisors is an integer number (78661560285).

Almost surely, 2^{2211001002112} is an apocalyptic number.

It is an amenable number.

2211001002112 is an abundant number, since it is smaller than the sum of its proper divisors (2823338856128).

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

2211001002112 is a wasteful number, since it uses less digits than its factorization.

2211001002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178629 (or 178617 counting only the distinct ones).

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

Adding to 2211001002112 its reverse (2112001001122), we get a palindrome (4323002003234).

The spelling of 2211001002112 in words is "two trillion, two hundred eleven billion, one million, two thousand, one hundred twelve".