211102001121 has 48 divisors (see below), whose sum is σ = 323403275520. Its totient is φ = 121434210240.

The previous prime is 211102001119. The next prime is 211102001153. The reversal of 211102001121 is 121100201112.

211102001121 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 211102001121 - 2¹ = 211102001119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211102001097 and 211102001106.

It is not an unprimeable number, because it can be changed into a prime (211102001221) 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 47 ways as a sum of consecutive naturals, for example, 1572966 + ... + 1701888.

It is an arithmetic number, because the mean of its divisors is an integer number (6737568240).

Almost surely, 2^211102001121 is an apocalyptic number.

It is an amenable number.

211102001121 is a deficient number, since it is larger than the sum of its proper divisors (112301274399).

211102001121 is a wasteful number, since it uses less digits than its factorization.

211102001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129054 (or 129025 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211102001121 its reverse (121100201112), we get a palindrome (332202202233).

Subtracting from 211102001121 its reverse (121100201112), we obtain a square (90001800009 = 300003²).

The spelling of 211102001121 in words is "two hundred eleven billion, one hundred two million, one thousand, one hundred twenty-one".