211122102002121 has 12 divisors (see below), whose sum is σ = 321004365617520. Its totient is φ = 133340274948600.

The previous prime is 211122102002101. The next prime is 211122102002131. The reversal of 211122102002121 is 121200201221112.

211122102002121 is a `hidden beast` number, since 21 + 11 + 221 + 0 + 200 + 212 + 1 = 666.

It is not a de Polignac number, because 211122102002121 - 2¹⁸ = 211122101739977 is a prime.

It is a super-3 number, since 3×211122102002121³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211122102002094 and 211122102002103.

It is not an unprimeable number, because it can be changed into a prime (211122102002101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617316087555 + ... + 617316087896.

It is an arithmetic number, because the mean of its divisors is an integer number (26750363801460).

Almost surely, 2^{211122102002121} is an apocalyptic number.

It is an amenable number.

211122102002121 is a deficient number, since it is larger than the sum of its proper divisors (109882263615399).

211122102002121 is a wasteful number, since it uses less digits than its factorization.

211122102002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234632175476 (or 1234632175473 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122102002121 its reverse (121200201221112), we get a palindrome (332322303223233).

The spelling of 211122102002121 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred two million, two thousand, one hundred twenty-one".