21121122110211 has 24 divisors (see below), whose sum is σ = 31443247767360. Its totient is φ = 13654725019776.

The previous prime is 21121122110177. The next prime is 21121122110233. The reversal of 21121122110211 is 11201122112112.

It is a happy number.

21121122110211 is a `hidden beast` number, since 2 + 11 + 211 + 221 + 10 + 211 = 666.

It is not a de Polignac number, because 21121122110211 - 2¹³ = 21121122102019 is a prime.

It is a super-3 number, since 3×21121122110211³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21121122130211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228998530 + ... + 229090743.

It is an arithmetic number, because the mean of its divisors is an integer number (1310135323640).

Almost surely, 2^{21121122110211} is an apocalyptic number.

21121122110211 is a deficient number, since it is larger than the sum of its proper divisors (10322125657149).

21121122110211 is a wasteful number, since it uses less digits than its factorization.

21121122110211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458089435 (or 458089432 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21121122110211 its reverse (11201122112112), we get a palindrome (32322244222323).

The spelling of 21121122110211 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, two hundred eleven".