10101311021 has 2 divisors, whose sum is σ = 10101311022. Its totient is φ = 10101311020.

The previous prime is 10101310991. The next prime is 10101311023. The reversal of 10101311021 is 12011310101.

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., 9459702121 + 641608900 = 97261^2 + 25330^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101311021 - 2⁶ = 10101310957 is a prime.

Together with 10101311023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101310993 and 10101311011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101311023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050655510 + 5050655511.

It is an arithmetic number, because the mean of its divisors is an integer number (5050655511).

Almost surely, 2^10101311021 is an apocalyptic number.

It is an amenable number.

10101311021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101311021 is an equidigital number, since it uses as much as digits as its factorization.

10101311021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10101311021 its reverse (12011310101), we get a palindrome (22112621122).

The spelling of 10101311021 in words is "ten billion, one hundred one million, three hundred eleven thousand, twenty-one".