11000101100041 has 2 divisors, whose sum is σ = 11000101100042. Its totient is φ = 11000101100040.

The previous prime is 11000101099961. The next prime is 11000101100071. The reversal of 11000101100041 is 14000110100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9385920686025 + 1614180414016 = 3063645^2 + 1270504^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000101100041 - 2⁷ = 11000101099913 is a prime.

It is a super-2 number, since 2×11000101100041² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11000101100071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500050550020 + 5500050550021.

It is an arithmetic number, because the mean of its divisors is an integer number (5500050550021).

Almost surely, 2^{11000101100041} is an apocalyptic number.

It is an amenable number.

11000101100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000101100041 is an equidigital number, since it uses as much as digits as its factorization.

11000101100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11000101100041 its reverse (14000110100011), we get a palindrome (25000211200052).

The spelling of 11000101100041 in words is "eleven trillion, one hundred one million, one hundred thousand, forty-one".