221011112101121 has 2 divisors, whose sum is σ = 221011112101122. Its totient is φ = 221011112101120.

The previous prime is 221011112101063. The next prime is 221011112101163. The reversal of 221011112101121 is 121101211110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148783397382400 + 72227714718721 = 12197680^2 + 8498689^2 .

It is a cyclic number.

It is not a de Polignac number, because 221011112101121 - 2⁶ = 221011112101057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221011112101121.

It is not a weakly prime, because it can be changed into another prime (221011112161121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110505556050560 + 110505556050561.

It is an arithmetic number, because the mean of its divisors is an integer number (110505556050561).

Almost surely, 2^{221011112101121} is an apocalyptic number.

It is an amenable number.

221011112101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221011112101121 is an equidigital number, since it uses as much as digits as its factorization.

221011112101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 221011112101121 its reverse (121101211110122), we get a palindrome (342112323211243).

Subtracting from 221011112101121 its reverse (121101211110122), we obtain a palindrome (99909900990999).

The spelling of 221011112101121 in words is "two hundred twenty-one trillion, eleven billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".