2114321101 has 2 divisors, whose sum is σ = 2114321102. Its totient is φ = 2114321100.

The previous prime is 2114321029. The next prime is 2114321147. The reversal of 2114321101 is 1011234112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1870649001 + 243672100 = 43251^2 + 15610^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114321101 - 2¹⁵ = 2114288333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114321171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057160550 + 1057160551.

It is an arithmetic number, because the mean of its divisors is an integer number (1057160551).

Almost surely, 2^2114321101 is an apocalyptic number.

It is an amenable number.

2114321101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114321101 is an equidigital number, since it uses as much as digits as its factorization.

2114321101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2114321101 is about 45981.7474765803. The cubic root of 2114321101 is about 1283.4835732505.

Adding to 2114321101 its reverse (1011234112), we get a palindrome (3125555213).

The spelling of 2114321101 in words is "two billion, one hundred fourteen million, three hundred twenty-one thousand, one hundred one".