11101100007001 has 2 divisors, whose sum is σ = 11101100007002. Its totient is φ = 11101100007000.

The previous prime is 11101100006947. The next prime is 11101100007031. The reversal of 11101100007001 is 10070000110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10259433211225 + 841666795776 = 3203035^2 + 917424^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101100007001 - 2¹³ = 11101099998809 is a prime.

It is not a weakly prime, because it can be changed into another prime (11101100007031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550550003500 + 5550550003501.

It is an arithmetic number, because the mean of its divisors is an integer number (5550550003501).

Almost surely, 2^{11101100007001} is an apocalyptic number.

It is an amenable number.

11101100007001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101100007001 is an equidigital number, since it uses as much as digits as its factorization.

11101100007001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 11101100007001 its reverse (10070000110111), we get a palindrome (21171100117112).

The spelling of 11101100007001 in words is "eleven trillion, one hundred one billion, one hundred million, seven thousand, one".