2111102101001 has 2 divisors, whose sum is σ = 2111102101002. Its totient is φ = 2111102101000.

The previous prime is 2111102100983. The next prime is 2111102101007. The reversal of 2111102101001 is 1001012011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1616836859401 + 494265241600 = 1271549^2 + 703040^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111102101001 - 2⁶ = 2111102100937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111102101007) 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, 1055551050500 + 1055551050501.

It is an arithmetic number, because the mean of its divisors is an integer number (1055551050501).

Almost surely, 2^{2111102101001} is an apocalyptic number.

It is an amenable number.

2111102101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111102101001 is an equidigital number, since it uses as much as digits as its factorization.

2111102101001 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 2111102101001 its reverse (1001012011112), we get a palindrome (3112114112113).

The spelling of 2111102101001 in words is "two trillion, one hundred eleven billion, one hundred two million, one hundred one thousand, one".