101212133202101 has 2 divisors, whose sum is σ = 101212133202102. Its totient is φ = 101212133202100.

The previous prime is 101212133202073. The next prime is 101212133202139. The reversal of 101212133202101 is 101202331212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100661109066001 + 551024136100 = 10033001^2 + 742310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101212133202101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101212133202601) 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, 50606066601050 + 50606066601051.

It is an arithmetic number, because the mean of its divisors is an integer number (50606066601051).

Almost surely, 2^{101212133202101} is an apocalyptic number.

It is an amenable number.

101212133202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212133202101 is an equidigital number, since it uses as much as digits as its factorization.

101212133202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101212133202101 its reverse (101202331212101), we get a palindrome (202414464414202).

The spelling of 101212133202101 in words is "one hundred one trillion, two hundred twelve billion, one hundred thirty-three million, two hundred two thousand, one hundred one".