101212101320101 has 2 divisors, whose sum is σ = 101212101320102. Its totient is φ = 101212101320100.

The previous prime is 101212101320047. The next prime is 101212101320123. The reversal of 101212101320101 is 101023101212101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100095042572001 + 1117058748100 = 10004751^2 + 1056910^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212101320101 - 2¹⁵ = 101212101287333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101212101320401) 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, 50606050660050 + 50606050660051.

It is an arithmetic number, because the mean of its divisors is an integer number (50606050660051).

Almost surely, 2^{101212101320101} is an apocalyptic number.

It is an amenable number.

101212101320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212101320101 is an equidigital number, since it uses as much as digits as its factorization.

101212101320101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101212101320101 its reverse (101023101212101), we get a palindrome (202235202532202).

The spelling of 101212101320101 in words is "one hundred one trillion, two hundred twelve billion, one hundred one million, three hundred twenty thousand, one hundred one".