1010220122101 has 2 divisors, whose sum is σ = 1010220122102. Its totient is φ = 1010220122100.

The previous prime is 1010220122047. The next prime is 1010220122111. The reversal of 1010220122101 is 1012210220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 997871134225 + 12348987876 = 998935^2 + 111126^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010220122101 - 2¹³ = 1010220113909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010220122111) 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, 505110061050 + 505110061051.

It is an arithmetic number, because the mean of its divisors is an integer number (505110061051).

Almost surely, 2^{1010220122101} is an apocalyptic number.

It is an amenable number.

1010220122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010220122101 is an equidigital number, since it uses as much as digits as its factorization.

1010220122101 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 13.

Adding to 1010220122101 its reverse (1012210220101), we get a palindrome (2022430342202).

The spelling of 1010220122101 in words is "one trillion, ten billion, two hundred twenty million, one hundred twenty-two thousand, one hundred one".