2100132101 has 2 divisors, whose sum is σ = 2100132102. Its totient is φ = 2100132100.

The previous prime is 2100132029. The next prime is 2100132137. The reversal of 2100132101 is 1012310012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1538679076 + 561453025 = 39226^2 + 23695^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100132101 - 2¹⁸ = 2099869957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100132191) 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, 1050066050 + 1050066051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050066051).

Almost surely, 2^2100132101 is an apocalyptic number.

It is an amenable number.

2100132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100132101 is an equidigital number, since it uses as much as digits as its factorization.

2100132101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2100132101 is about 45827.1982669681. The cubic root of 2100132101 is about 1280.6060161369.

Adding to 2100132101 its reverse (1012310012), we get a palindrome (3112442113).

The spelling of 2100132101 in words is "two billion, one hundred million, one hundred thirty-two thousand, one hundred one".