10021122020101 has 2 divisors, whose sum is σ = 10021122020102. Its totient is φ = 10021122020100.

The previous prime is 10021122020099. The next prime is 10021122020137. The reversal of 10021122020101 is 10102022112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9975484243201 + 45637776900 = 3158399^2 + 213630^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021122020101 - 2¹ = 10021122020099 is a prime.

Together with 10021122020099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021122026101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010561010050 + 5010561010051.

It is an arithmetic number, because the mean of its divisors is an integer number (5010561010051).

Almost surely, 2^{10021122020101} is an apocalyptic number.

It is an amenable number.

10021122020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021122020101 is an equidigital number, since it uses as much as digits as its factorization.

10021122020101 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 13.

Adding to 10021122020101 its reverse (10102022112001), we get a palindrome (20123144132102).

The spelling of 10021122020101 in words is "ten trillion, twenty-one billion, one hundred twenty-two million, twenty thousand, one hundred one".