102100010210101 has 2 divisors, whose sum is σ = 102100010210102. Its totient is φ = 102100010210100.

The previous prime is 102100010210057. The next prime is 102100010210161. The reversal of 102100010210101 is 101012010001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96235020903025 + 5864989307076 = 9809945^2 + 2421774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102100010210101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100010210161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050005105050 + 51050005105051.

It is an arithmetic number, because the mean of its divisors is an integer number (51050005105051).

Almost surely, 2^{102100010210101} is an apocalyptic number.

It is an amenable number.

102100010210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100010210101 is an equidigital number, since it uses as much as digits as its factorization.

102100010210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102100010210101 its reverse (101012010001201), we get a palindrome (203112020211302).

The spelling of 102100010210101 in words is "one hundred two trillion, one hundred billion, ten million, two hundred ten thousand, one hundred one".