211122020121101 has 16 divisors (see below), whose sum is σ = 211868500454400. Its totient is φ = 210376500922368.

The previous prime is 211122020121091. The next prime is 211122020121109. The reversal of 211122020121101 is 101121020221112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211122020121101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211122020121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122020121109) 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 15 ways as a sum of consecutive naturals, for example, 10415995595 + ... + 10416015863.

It is an arithmetic number, because the mean of its divisors is an integer number (13241781278400).

Almost surely, 2^{211122020121101} is an apocalyptic number.

It is an amenable number.

211122020121101 is a deficient number, since it is larger than the sum of its proper divisors (746480333299).

211122020121101 is a wasteful number, since it uses less digits than its factorization.

211122020121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42188.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211122020121101 its reverse (101121020221112), we get a palindrome (312243040342213).

The spelling of 211122020121101 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty million, one hundred twenty-one thousand, one hundred one".