2000011104101 has 2 divisors, whose sum is σ = 2000011104102. Its totient is φ = 2000011104100.

The previous prime is 2000011104041. The next prime is 2000011104103. The reversal of 2000011104101 is 1014011100002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1662681302500 + 337329801601 = 1289450^2 + 580801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000011104101 is a prime.

Together with 2000011104103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000011104103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000005552050 + 1000005552051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000005552051).

Almost surely, 2^{2000011104101} is an apocalyptic number.

It is an amenable number.

2000011104101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000011104101 is an equidigital number, since it uses as much as digits as its factorization.

2000011104101 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 11.

Adding to 2000011104101 its reverse (1014011100002), we get a palindrome (3014022204103).

The spelling of 2000011104101 in words is "two trillion, eleven million, one hundred four thousand, one hundred one".