10211122010101 has 2 divisors, whose sum is σ = 10211122010102. Its totient is φ = 10211122010100.

The previous prime is 10211122010099. The next prime is 10211122010137. The reversal of 10211122010101 is 10101022111201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9594190307601 + 616931702500 = 3097449^2 + 785450^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211122010101 - 2¹ = 10211122010099 is a prime.

Together with 10211122010099, 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 (10211122010701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105561005050 + 5105561005051.

It is an arithmetic number, because the mean of its divisors is an integer number (5105561005051).

Almost surely, 2^{10211122010101} is an apocalyptic number.

It is an amenable number.

10211122010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211122010101 is an equidigital number, since it uses as much as digits as its factorization.

10211122010101 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 13.

Adding to 10211122010101 its reverse (10101022111201), we get a palindrome (20312144121302).

The spelling of 10211122010101 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, ten thousand, one hundred one".