21101101102001 has 2 divisors, whose sum is σ = 21101101102002. Its totient is φ = 21101101102000.

The previous prime is 21101101101923. The next prime is 21101101102033. The reversal of 21101101102001 is 10020110110112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11716381326400 + 9384719775601 = 3422920^2 + 3063449^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101101102001 - 2¹⁸ = 21101100839857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (21101101102061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550550551000 + 10550550551001.

It is an arithmetic number, because the mean of its divisors is an integer number (10550550551001).

Almost surely, 2^{21101101102001} is an apocalyptic number.

It is an amenable number.

21101101102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101101102001 is an equidigital number, since it uses as much as digits as its factorization.

21101101102001 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 11.

Adding to 21101101102001 its reverse (10020110110112), we get a palindrome (31121211212113).

The spelling of 21101101102001 in words is "twenty-one trillion, one hundred one billion, one hundred one million, one hundred two thousand, one".