211011120000011 has 16 divisors (see below), whose sum is σ = 217905686016768. Its totient is φ = 204122045568000.

The previous prime is 211011119999987. The next prime is 211011120000013. The reversal of 211011120000011 is 110000021110112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211011120000011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211011119999947 and 211011120000001.

It is not an unprimeable number, because it can be changed into a prime (211011120000013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2583441905 + ... + 2583523581.

It is an arithmetic number, because the mean of its divisors is an integer number (13619105376048).

Almost surely, 2^{211011120000011} is an apocalyptic number.

211011120000011 is a deficient number, since it is larger than the sum of its proper divisors (6894566016757).

211011120000011 is a wasteful number, since it uses less digits than its factorization.

211011120000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114262.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211011120000011 its reverse (110000021110112), we get a palindrome (321011141110123).

The spelling of 211011120000011 in words is "two hundred eleven trillion, eleven billion, one hundred twenty million, eleven", and thus it is an aban number.