11111001002041 has 2 divisors, whose sum is σ = 11111001002042. Its totient is φ = 11111001002040.

The previous prime is 11111001001963. The next prime is 11111001002089. The reversal of 11111001002041 is 14020010011111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10890138600441 + 220862401600 = 3300021^2 + 469960^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111001002041 - 2²⁷ = 11110866784313 is a prime.

It is a super-2 number, since 2×11111001002041² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11111001002141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555500501020 + 5555500501021.

It is an arithmetic number, because the mean of its divisors is an integer number (5555500501021).

Almost surely, 2^{11111001002041} is an apocalyptic number.

It is an amenable number.

11111001002041 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111001002041 is an equidigital number, since it uses as much as digits as its factorization.

11111001002041 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 13.

Adding to 11111001002041 its reverse (14020010011111), we get a palindrome (25131011013152).

The spelling of 11111001002041 in words is "eleven trillion, one hundred eleven billion, one million, two thousand, forty-one".