10001122020101 has 2 divisors, whose sum is σ = 10001122020102. Its totient is φ = 10001122020100.

The previous prime is 10001122020089. The next prime is 10001122020103. The reversal of 10001122020101 is 10102022110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8443615524100 + 1557506496001 = 2905790^2 + 1248001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001122020101 is a prime.

Together with 10001122020103, 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 (10001122020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000561010050 + 5000561010051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000561010051).

Almost surely, 2^{10001122020101} is an apocalyptic number.

It is an amenable number.

10001122020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001122020101 is an equidigital number, since it uses as much as digits as its factorization.

10001122020101 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 11.

Adding to 10001122020101 its reverse (10102022110001), we get a palindrome (20103144130102).

The spelling of 10001122020101 in words is "ten trillion, one billion, one hundred twenty-two million, twenty thousand, one hundred one".