211616121 has 16 divisors (see below), whose sum is σ = 288282240. Its totient is φ = 138028800.

The previous prime is 211616107. The next prime is 211616131. The reversal of 211616121 is 121616112.

It is not a de Polignac number, because 211616121 - 2¹⁴ = 211599737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211616131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62100 + ... + 65418.

It is an arithmetic number, because the mean of its divisors is an integer number (18017640).

Almost surely, 2^211616121 is an apocalyptic number.

It is an amenable number.

211616121 is a deficient number, since it is larger than the sum of its proper divisors (76666119).

211616121 is a wasteful number, since it uses less digits than its factorization.

211616121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776.

The product of its digits is 144, while the sum is 21.

The square root of 211616121 is about 14547.0313466356. The cubic root of 211616121 is about 595.9130777625.

Subtracting from 211616121 its reverse (121616112), we obtain a palindrome (90000009).

The spelling of 211616121 in words is "two hundred eleven million, six hundred sixteen thousand, one hundred twenty-one".