105532111121 has 2 divisors, whose sum is σ = 105532111122. Its totient is φ = 105532111120.

The previous prime is 105532111099. The next prime is 105532111127. The reversal of 105532111121 is 121111235501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99121706896 + 6410404225 = 314836^2 + 80065^2 .

It is an emirp because it is prime and its reverse (121111235501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105532111121 - 2¹⁸ = 105531848977 is a prime.

It is a super-2 number, since 2×105532111121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105532111127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52766055560 + 52766055561.

It is an arithmetic number, because the mean of its divisors is an integer number (52766055561).

Almost surely, 2^105532111121 is an apocalyptic number.

It is an amenable number.

105532111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105532111121 is an equidigital number, since it uses as much as digits as its factorization.

105532111121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 23.

Adding to 105532111121 its reverse (121111235501), we get a palindrome (226643346622).

The spelling of 105532111121 in words is "one hundred five billion, five hundred thirty-two million, one hundred eleven thousand, one hundred twenty-one".