2010100100101 has 2 divisors, whose sum is σ = 2010100100102. Its totient is φ = 2010100100100.

The previous prime is 2010100100081. The next prime is 2010100100111. The reversal of 2010100100101 is 1010010010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1493103149476 + 516996950625 = 1221926^2 + 719025^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010100100101 - 2¹⁷ = 2010099969029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010100100111) 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, 1005050050050 + 1005050050051.

It is an arithmetic number, because the mean of its divisors is an integer number (1005050050051).

Almost surely, 2^{2010100100101} is an apocalyptic number.

It is an amenable number.

2010100100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010100100101 is an equidigital number, since it uses as much as digits as its factorization.

2010100100101 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 7.

Adding to 2010100100101 its reverse (1010010010102), we get a palindrome (3020110110203).

The spelling of 2010100100101 in words is "two trillion, ten billion, one hundred million, one hundred thousand, one hundred one".