211101121121201 has 16 divisors (see below), whose sum is σ = 214730299597008. Its totient is φ = 207477409305600.

The previous prime is 211101121121197. The next prime is 211101121121207. The reversal of 211101121121201 is 102121121101112.

It can be written as a sum of positive squares in 8 ways, for example, as 63557949960976 + 147543171160225 = 7972324^2 + 12146735^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101121121201 - 2² = 211101121121197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211101121121201.

It is not an unprimeable number, because it can be changed into a prime (211101121121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852062795 + ... + 852310511.

It is an arithmetic number, because the mean of its divisors is an integer number (13420643724813).

Almost surely, 2^{211101121121201} is an apocalyptic number.

It is an amenable number.

211101121121201 is a deficient number, since it is larger than the sum of its proper divisors (3629178475807).

211101121121201 is a wasteful number, since it uses less digits than its factorization.

211101121121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258692.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 211101121121201 its reverse (102121121101112), we get a palindrome (313222242222313).

The spelling of 211101121121201 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".