101020120222201 has 2 divisors, whose sum is σ = 101020120222202. Its totient is φ = 101020120222200.

The previous prime is 101020120222199. The next prime is 101020120222213. The reversal of 101020120222201 is 102222021020101.

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., 98216920098025 + 2803200124176 = 9910445^2 + 1674276^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020120222201 - 2¹ = 101020120222199 is a prime.

It is a super-2 number, since 2×101020120222201² (a number of 29 digits) contains 22 as substring.

Together with 101020120222199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101020120222291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510060111100 + 50510060111101.

It is an arithmetic number, because the mean of its divisors is an integer number (50510060111101).

Almost surely, 2^{101020120222201} is an apocalyptic number.

It is an amenable number.

101020120222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020120222201 is an equidigital number, since it uses as much as digits as its factorization.

101020120222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101020120222201 its reverse (102222021020101), we get a palindrome (203242141242302).

The spelling of 101020120222201 in words is "one hundred one trillion, twenty billion, one hundred twenty million, two hundred twenty-two thousand, two hundred one".