201121112102211 has 48 divisors (see below), whose sum is σ = 346526541603840. Its totient is φ = 109903566674880.

The previous prime is 201121112102201. The next prime is 201121112102213. The reversal of 201121112102211 is 112201211121102.

It is a happy number.

201121112102211 is a `hidden beast` number, since 20 + 1 + 1 + 211 + 1 + 210 + 221 + 1 = 666.

201121112102211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201121112102211 - 2⁷ = 201121112102083 is a prime.

It is a super-2 number, since 2×201121112102211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201121112102213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10272016 + ... + 22533453.

It is an arithmetic number, because the mean of its divisors is an integer number (7219302950080).

Almost surely, 2^{201121112102211} is an apocalyptic number.

201121112102211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201121112102211 is a deficient number, since it is larger than the sum of its proper divisors (145405429501629).

201121112102211 is a wasteful number, since it uses less digits than its factorization.

201121112102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32809736 (or 32809733 counting only the distinct ones).

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

Adding to 201121112102211 its reverse (112201211121102), we get a palindrome (313322323223313).

The spelling of 201121112102211 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twelve million, one hundred two thousand, two hundred eleven".