10021122026101 has 2 divisors, whose sum is σ = 10021122026102. Its totient is φ = 10021122026100.

The previous prime is 10021122026077. The next prime is 10021122026129. The reversal of 10021122026101 is 10162022112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6554547234225 + 3466574791876 = 2560185^2 + 1861874^2 .

It is an emirp because it is prime and its reverse (10162022112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10021122026101 - 2³³ = 10012532091509 is a prime.

It is a super-2 number, since 2×10021122026101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021122026141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010561013050 + 5010561013051.

It is an arithmetic number, because the mean of its divisors is an integer number (5010561013051).

Almost surely, 2^{10021122026101} is an apocalyptic number.

It is an amenable number.

10021122026101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021122026101 is an equidigital number, since it uses as much as digits as its factorization.

10021122026101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10021122026101 its reverse (10162022112001), we get a palindrome (20183144138102).

The spelling of 10021122026101 in words is "ten trillion, twenty-one billion, one hundred twenty-two million, twenty-six thousand, one hundred one".