411011121110101 has 2 divisors, whose sum is σ = 411011121110102. Its totient is φ = 411011121110100.

The previous prime is 411011121110017. The next prime is 411011121110143. The reversal of 411011121110101 is 101011121110114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212464731868900 + 198546389241201 = 14576170^2 + 14090649^2 .

It is a cyclic number.

It is not a de Polignac number, because 411011121110101 - 2¹¹ = 411011121108053 is a prime.

It is a super-2 number, since 2×411011121110101² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (411011121110501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205505560555050 + 205505560555051.

It is an arithmetic number, because the mean of its divisors is an integer number (205505560555051).

Almost surely, 2^{411011121110101} is an apocalyptic number.

It is an amenable number.

411011121110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

411011121110101 is an equidigital number, since it uses as much as digits as its factorization.

411011121110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 411011121110101 its reverse (101011121110114), we get a palindrome (512022242220215).

The spelling of 411011121110101 in words is "four hundred eleven trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred one".