121111101222121 has 2 divisors, whose sum is σ = 121111101222122. Its totient is φ = 121111101222120.

The previous prime is 121111101222073. The next prime is 121111101222131. The reversal of 121111101222121 is 121222101111121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95018415612121 + 26092685610000 = 9747739^2 + 5108100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121111101222121 is a prime.

It is a super-4 number, since 4×121111101222121⁴ (a number of 57 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (121111101222131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60555550611060 + 60555550611061.

It is an arithmetic number, because the mean of its divisors is an integer number (60555550611061).

Almost surely, 2^{121111101222121} is an apocalyptic number.

It is an amenable number.

121111101222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121111101222121 is an equidigital number, since it uses as much as digits as its factorization.

121111101222121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 121111101222121 its reverse (121222101111121), we get a palindrome (242333202333242).

The spelling of 121111101222121 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty-one".