2111012111221 has 32 divisors (see below), whose sum is σ = 2413423797120. Its totient is φ = 1829210148864.

The previous prime is 2111012111213. The next prime is 2111012111251. The reversal of 2111012111221 is 1221112101112.

It is not a de Polignac number, because 2111012111221 - 2³ = 2111012111213 is a prime.

It is a super-2 number, since 2×2111012111221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111012111195 and 2111012111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111012111251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143374566 + ... + 143389288.

It is an arithmetic number, because the mean of its divisors is an integer number (75419493660).

Almost surely, 2^{2111012111221} is an apocalyptic number.

It is an amenable number.

2111012111221 is a deficient number, since it is larger than the sum of its proper divisors (302411685899).

2111012111221 is a wasteful number, since it uses less digits than its factorization.

2111012111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16405.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 2111012111221 its reverse (1221112101112), we get a palindrome (3332124212333).

The spelling of 2111012111221 in words is "two trillion, one hundred eleven billion, twelve million, one hundred eleven thousand, two hundred twenty-one".