101121102212101 has 2 divisors, whose sum is σ = 101121102212102. Its totient is φ = 101121102212100.

The previous prime is 101121102212051. The next prime is 101121102212147. The reversal of 101121102212101 is 101212201121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84536090311201 + 16585011900900 = 9194351^2 + 4072470^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121102212101 - 2¹¹ = 101121102210053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121102212171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560551106050 + 50560551106051.

It is an arithmetic number, because the mean of its divisors is an integer number (50560551106051).

Almost surely, 2^{101121102212101} is an apocalyptic number.

It is an amenable number.

101121102212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121102212101 is an equidigital number, since it uses as much as digits as its factorization.

101121102212101 is an evil number, because the sum of its binary digits is even.

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

Adding to 101121102212101 its reverse (101212201121101), we get a palindrome (202333303333202).

The spelling of 101121102212101 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred two million, two hundred twelve thousand, one hundred one".