101112211021 has 2 divisors, whose sum is σ = 101112211022. Its totient is φ = 101112211020.

The previous prime is 101112210949. The next prime is 101112211027. The reversal of 101112211021 is 120112211101.

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., 75803855625 + 25308355396 = 275325^2 + 159086^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112211021 - 2²⁷ = 100977993293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112210992 and 101112211010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112211027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556105510 + 50556105511.

It is an arithmetic number, because the mean of its divisors is an integer number (50556105511).

Almost surely, 2^101112211021 is an apocalyptic number.

It is an amenable number.

101112211021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112211021 is an equidigital number, since it uses as much as digits as its factorization.

101112211021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112211021 its reverse (120112211101), we get a palindrome (221224422122).

The spelling of 101112211021 in words is "one hundred one billion, one hundred twelve million, two hundred eleven thousand, twenty-one".