221211011111121 has 16 divisors (see below), whose sum is σ = 327725084821120. Its totient is φ = 147471726645360.

The previous prime is 221211011111113. The next prime is 221211011111143. The reversal of 221211011111121 is 121111110112122.

221211011111121 is a `hidden beast` number, since 221 + 211 + 0 + 1 + 1 + 111 + 121 = 666.

221211011111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221211011111121 - 2³ = 221211011111113 is a prime.

It is a super-2 number, since 2×221211011111121² (a number of 29 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 = 221211011111094 and 221211011111103.

It is not an unprimeable number, because it can be changed into a prime (221211021111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61575445 + ... + 65068866.

It is an arithmetic number, because the mean of its divisors is an integer number (20482817801320).

Almost surely, 2^{221211011111121} is an apocalyptic number.

It is an amenable number.

221211011111121 is a deficient number, since it is larger than the sum of its proper divisors (106514073709999).

221211011111121 is a wasteful number, since it uses less digits than its factorization.

221211011111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126709013 (or 126709007 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 221211011111121 its reverse (121111110112122), we get a palindrome (342322121223243).

The spelling of 221211011111121 in words is "two hundred twenty-one trillion, two hundred eleven billion, eleven million, one hundred eleven thousand, one hundred twenty-one".