10101120101201 has 2 divisors, whose sum is σ = 10101120101202. Its totient is φ = 10101120101200.

The previous prime is 10101120101131. The next prime is 10101120101209. The reversal of 10101120101201 is 10210102110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9959382910801 + 141737190400 = 3155849^2 + 376480^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101120101201 - 2³⁴ = 10083940232017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101120101209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050560050600 + 5050560050601.

It is an arithmetic number, because the mean of its divisors is an integer number (5050560050601).

Almost surely, 2^{10101120101201} is an apocalyptic number.

It is an amenable number.

10101120101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101120101201 is an equidigital number, since it uses as much as digits as its factorization.

10101120101201 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 10101120101201 its reverse (10210102110101), we get a palindrome (20311222211302).

The spelling of 10101120101201 in words is "ten trillion, one hundred one billion, one hundred twenty million, one hundred one thousand, two hundred one".