101000121022001 has 2 divisors, whose sum is σ = 101000121022002. Its totient is φ = 101000121022000.

The previous prime is 101000121021901. The next prime is 101000121022043. The reversal of 101000121022001 is 100220121000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90203645953600 + 10796475068401 = 9497560^2 + 3285799^2 .

It is an emirp because it is prime and its reverse (100220121000101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000121022001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000121072001) 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, 50500060511000 + 50500060511001.

It is an arithmetic number, because the mean of its divisors is an integer number (50500060511001).

Almost surely, 2^{101000121022001} is an apocalyptic number.

It is an amenable number.

101000121022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000121022001 is an equidigital number, since it uses as much as digits as its factorization.

101000121022001 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 101000121022001 its reverse (100220121000101), we get a palindrome (201220242022102).

The spelling of 101000121022001 in words is "one hundred one trillion, one hundred twenty-one million, twenty-two thousand, one".