21120110101001 has 2 divisors, whose sum is σ = 21120110101002. Its totient is φ = 21120110101000.

The previous prime is 21120110100997. The next prime is 21120110101049. The reversal of 21120110101001 is 10010101102112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10865231100025 + 10254879000976 = 3296245^2 + 3202324^2 .

It is a cyclic number.

It is not a de Polignac number, because 21120110101001 - 2² = 21120110100997 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 (21120110101081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560055050500 + 10560055050501.

It is an arithmetic number, because the mean of its divisors is an integer number (10560055050501).

Almost surely, 2^{21120110101001} is an apocalyptic number.

It is an amenable number.

21120110101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21120110101001 is an equidigital number, since it uses as much as digits as its factorization.

21120110101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21120110101001 its reverse (10010101102112), we get a palindrome (31130211203113).

The spelling of 21120110101001 in words is "twenty-one trillion, one hundred twenty billion, one hundred ten million, one hundred one thousand, one".