10001100114001 has 2 divisors, whose sum is σ = 10001100114002. Its totient is φ = 10001100114000.

The previous prime is 10001100113999. The next prime is 10001100114011. The reversal of 10001100114001 is 10041100110001.

It is an a-pointer prime, because the next prime (10001100114011) can be obtained adding 10001100114001 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6755715878976 + 3245384235025 = 2599176^2 + 1801495^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100114001 - 2¹ = 10001100113999 is a prime.

Together with 10001100113999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10001100114011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550057000 + 5000550057001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550057001).

Almost surely, 2^{10001100114001} is an apocalyptic number.

It is an amenable number.

10001100114001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100114001 is an equidigital number, since it uses as much as digits as its factorization.

10001100114001 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 10001100114001 its reverse (10041100110001), we get a palindrome (20042200224002).

The spelling of 10001100114001 in words is "ten trillion, one billion, one hundred million, one hundred fourteen thousand, one".