2121110111211 has 64 divisors (see below), whose sum is σ = 3576238353408. Its totient is φ = 1088172569088.

The previous prime is 2121110111201. The next prime is 2121110111243. The reversal of 2121110111211 is 1121110111212.

It is not a de Polignac number, because 2121110111211 - 2⁹ = 2121110110699 is a prime.

It is a super-3 number, since 3×2121110111211³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121110111201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27304621 + ... + 27382193.

It is an arithmetic number, because the mean of its divisors is an integer number (55878724272).

Almost surely, 2^{2121110111211} is an apocalyptic number.

2121110111211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2121110111211 is a deficient number, since it is larger than the sum of its proper divisors (1455128242197).

2121110111211 is a wasteful number, since it uses less digits than its factorization.

2121110111211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80340.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 2121110111211 its reverse (1121110111212), we get a palindrome (3242220222423).

Subtracting from 2121110111211 its reverse (1121110111212), we obtain a palindrome (999999999999).

The spelling of 2121110111211 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, one hundred eleven thousand, two hundred eleven".