2115264101 has 2 divisors, whose sum is σ = 2115264102. Its totient is φ = 2115264100.

The previous prime is 2115264043. The next prime is 2115264139. The reversal of 2115264101 is 1014625112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2049735076 + 65529025 = 45274^2 + 8095^2 .

It is a cyclic number.

It is not a de Polignac number, because 2115264101 - 2¹⁸ = 2115001957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2115264191) 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, 1057632050 + 1057632051.

It is an arithmetic number, because the mean of its divisors is an integer number (1057632051).

Almost surely, 2^2115264101 is an apocalyptic number.

It is an amenable number.

2115264101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2115264101 is an equidigital number, since it uses as much as digits as its factorization.

2115264101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 2115264101 is about 45992.0004022439. Note that the first 3 decimals coincide. The cubic root of 2115264101 is about 1283.6743587018.

Adding to 2115264101 its reverse (1014625112), we get a palindrome (3129889213).

The spelling of 2115264101 in words is "two billion, one hundred fifteen million, two hundred sixty-four thousand, one hundred one".