101021112001001 has 2 divisors, whose sum is σ = 101021112001002. Its totient is φ = 101021112001000.

The previous prime is 101021112000923. The next prime is 101021112001003. The reversal of 101021112001001 is 100100211120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100928123597401 + 92988403600 = 10046299^2 + 304940^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021112001001 - 2³⁰ = 101020038259177 is a prime.

Together with 101021112001003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101021112001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510556000500 + 50510556000501.

It is an arithmetic number, because the mean of its divisors is an integer number (50510556000501).

Almost surely, 2^{101021112001001} is an apocalyptic number.

It is an amenable number.

101021112001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021112001001 is an equidigital number, since it uses as much as digits as its factorization.

101021112001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101021112001001 its reverse (100100211120101), we get a palindrome (201121323121102).

The spelling of 101021112001001 in words is "one hundred one trillion, twenty-one billion, one hundred twelve million, one thousand, one".