2102000101 has 2 divisors, whose sum is σ = 2102000102. Its totient is φ = 2102000100.

The previous prime is 2102000083. The next prime is 2102000111. The reversal of 2102000101 is 1010002012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1240871076 + 861129025 = 35226^2 + 29345^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102000101 - 2⁷ = 2101999973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102000111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051000050 + 1051000051.

It is an arithmetic number, because the mean of its divisors is an integer number (1051000051).

Almost surely, 2^2102000101 is an apocalyptic number.

It is an amenable number.

2102000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102000101 is an equidigital number, since it uses as much as digits as its factorization.

2102000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2102000101 is about 45847.5746468665. The cubic root of 2102000101 is about 1280.9855895828.

Adding to 2102000101 its reverse (1010002012), we get a palindrome (3112002113).

The spelling of 2102000101 in words is "two billion, one hundred two million, one hundred one", and thus it is an aban number.