211010100101 has 2 divisors, whose sum is σ = 211010100102. Its totient is φ = 211010100100.

The previous prime is 211010100083. The next prime is 211010100137. The reversal of 211010100101 is 101001010112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145473588100 + 65536512001 = 381410^2 + 256001^2 .

It is a cyclic number.

It is not a de Polignac number, because 211010100101 - 2³⁰ = 209936358277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211010100001) 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, 105505050050 + 105505050051.

It is an arithmetic number, because the mean of its divisors is an integer number (105505050051).

Almost surely, 2^211010100101 is an apocalyptic number.

It is an amenable number.

211010100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211010100101 is an equidigital number, since it uses as much as digits as its factorization.

211010100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 211010100101 its reverse (101001010112), we get a palindrome (312011110213).

The spelling of 211010100101 in words is "two hundred eleven billion, ten million, one hundred thousand, one hundred one".