211100110110221 has 16 divisors (see below), whose sum is σ = 215557964134128. Its totient is φ = 206684640000000.

The previous prime is 211100110110173. The next prime is 211100110110229. The reversal of 211100110110221 is 122011011001112.

It can be written as a sum of positive squares in 8 ways, for example, as 71875449687721 + 139224660422500 = 8477939^2 + 11799350^2 .

It is a cyclic number.

It is not a de Polignac number, because 211100110110221 - 2²² = 211100105915917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211100110110196 and 211100110110205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100110110229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624903641 + ... + 625241361.

It is an arithmetic number, because the mean of its divisors is an integer number (13472372758383).

Almost surely, 2^{211100110110221} is an apocalyptic number.

It is an amenable number.

211100110110221 is a deficient number, since it is larger than the sum of its proper divisors (4457854023907).

211100110110221 is a wasteful number, since it uses less digits than its factorization.

211100110110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400432.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211100110110221 its reverse (122011011001112), we get a palindrome (333111121111333).

The spelling of 211100110110221 in words is "two hundred eleven trillion, one hundred billion, one hundred ten million, one hundred ten thousand, two hundred twenty-one".