211011112001 has 16 divisors (see below), whose sum is σ = 224111807568. Its totient is φ = 197987328000.

The previous prime is 211011111991. The next prime is 211011112043. The reversal of 211011112001 is 100211110112.

It can be written as a sum of positive squares in 8 ways, for example, as 65812771600 + 145198340401 = 256540^2 + 381049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211011112001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211011112051) 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, 21307151 + ... + 21317051.

It is an arithmetic number, because the mean of its divisors is an integer number (14006987973).

Almost surely, 2^211011112001 is an apocalyptic number.

It is an amenable number.

211011112001 is a deficient number, since it is larger than the sum of its proper divisors (13100695567).

211011112001 is a wasteful number, since it uses less digits than its factorization.

211011112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652.

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

Adding to 211011112001 its reverse (100211110112), we get a palindrome (311222222113).

The spelling of 211011112001 in words is "two hundred eleven billion, eleven million, one hundred twelve thousand, one".