211121011122201 has 24 divisors (see below), whose sum is σ = 313247377944384. Its totient is φ = 136920252281760.

The previous prime is 211121011122163. The next prime is 211121011122209. The reversal of 211121011122201 is 102221110121112.

It is a happy number.

211121011122201 is a `hidden beast` number, since 211 + 1 + 210 + 11 + 12 + 220 + 1 = 666.

It is not a de Polignac number, because 211121011122201 - 2²¹ = 211121009025049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121011122209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51510115 + ... + 55457496.

It is an arithmetic number, because the mean of its divisors is an integer number (13051974081016).

Almost surely, 2^{211121011122201} is an apocalyptic number.

It is an amenable number.

211121011122201 is a deficient number, since it is larger than the sum of its proper divisors (102126366822183).

211121011122201 is a wasteful number, since it uses less digits than its factorization.

211121011122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106973581 (or 106973578 counting only the distinct ones).

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

Adding to 211121011122201 its reverse (102221110121112), we get a palindrome (313342121243313).

The spelling of 211121011122201 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, one hundred twenty-two thousand, two hundred one".