2100042101 has 2 divisors, whose sum is σ = 2100042102. Its totient is φ = 2100042100.

The previous prime is 2100042097. The next prime is 2100042103. The reversal of 2100042101 is 1012400012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1146838225 + 953203876 = 33865^2 + 30874^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100042101 - 2² = 2100042097 is a prime.

Together with 2100042103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100042103) 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, 1050021050 + 1050021051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050021051).

Almost surely, 2^2100042101 is an apocalyptic number.

It is an amenable number.

2100042101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100042101 is an equidigital number, since it uses as much as digits as its factorization.

2100042101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2100042101 is about 45826.2163068259. The cubic root of 2100042101 is about 1280.5877226547.

Adding to 2100042101 its reverse (1012400012), we get a palindrome (3112442113).

The spelling of 2100042101 in words is "two billion, one hundred million, forty-two thousand, one hundred one".