211122100121121 has 128 divisors (see below), whose sum is σ = 382672249344000. Its totient is φ = 112346893790208.

The previous prime is 211122100121117. The next prime is 211122100121129. The reversal of 211122100121121 is 121121001221112.

It is a happy number.

211122100121121 is a `hidden beast` number, since 211 + 1 + 2 + 210 + 0 + 121 + 121 = 666.

It is not a de Polignac number, because 211122100121121 - 2² = 211122100121117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122100121094 and 211122100121103.

It is not an unprimeable number, because it can be changed into a prime (211122100121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4600288651 + ... + 4600334543.

It is an arithmetic number, because the mean of its divisors is an integer number (2989626948000).

Almost surely, 2^{211122100121121} is an apocalyptic number.

211122100121121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211122100121121 is a deficient number, since it is larger than the sum of its proper divisors (171550149222879).

211122100121121 is a wasteful number, since it uses less digits than its factorization.

211122100121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67700 (or 67694 counting only the distinct ones).

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

Adding to 211122100121121 its reverse (121121001221112), we get a palindrome (332243101342233).

The spelling of 211122100121121 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-one".