211001200002112 has 28 divisors (see below), whose sum is σ = 450913622121676. Its totient is φ = 97385169231360.

The previous prime is 211001200002107. The next prime is 211001200002139. The reversal of 211001200002112 is 211200002100112.

211001200002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 143480533328896 + 67520666673216 = 11978336^2 + 8217096^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 211001200002092 and 211001200002101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126803604939 + ... + 126803606602.

It is an arithmetic number, because the mean of its divisors is an integer number (16104057932917).

Almost surely, 2^{211001200002112} is an apocalyptic number.

It is an amenable number.

211001200002112 is an abundant number, since it is smaller than the sum of its proper divisors (239912422119564).

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

211001200002112 is a wasteful number, since it uses less digits than its factorization.

211001200002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253607211566 (or 253607211556 counting only the distinct ones).

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

Adding to 211001200002112 its reverse (211200002100112), we get a palindrome (422201202102224).

The spelling of 211001200002112 in words is "two hundred eleven trillion, one billion, two hundred million, two thousand, one hundred twelve".