101101120222001 has 2 divisors, whose sum is σ = 101101120222002. Its totient is φ = 101101120222000.

The previous prime is 101101120221977. The next prime is 101101120222007. The reversal of 101101120222001 is 100222021101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81489906534976 + 19611213687025 = 9027176^2 + 4428455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101120222001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101120222007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550560111000 + 50550560111001.

It is an arithmetic number, because the mean of its divisors is an integer number (50550560111001).

Almost surely, 2^{101101120222001} is an apocalyptic number.

It is an amenable number.

101101120222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101120222001 is an equidigital number, since it uses as much as digits as its factorization.

101101120222001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101101120222001 its reverse (100222021101101), we get a palindrome (201323141323102).

The spelling of 101101120222001 in words is "one hundred one trillion, one hundred one billion, one hundred twenty million, two hundred twenty-two thousand, one".