1020101021 has 2 divisors, whose sum is σ = 1020101022. Its totient is φ = 1020101020.

The previous prime is 1020101003. The next prime is 1020101023. The reversal of 1020101021 is 1201010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 531072025 + 489028996 = 23045^2 + 22114^2 .

It is an emirp because it is prime and its reverse (1201010201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020101021 is a prime.

Together with 1020101023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020101023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510050510 + 510050511.

It is an arithmetic number, because the mean of its divisors is an integer number (510050511).

Almost surely, 2^1020101021 is an apocalyptic number.

It is an amenable number.

1020101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020101021 is an equidigital number, since it uses as much as digits as its factorization.

1020101021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1020101021 is about 31939.0203512882. The cubic root of 1020101021 is about 1006.6559404999.

Adding to 1020101021 its reverse (1201010201), we get a palindrome (2221111222).

The spelling of 1020101021 in words is "one billion, twenty million, one hundred one thousand, twenty-one".