10201222100101 has 2 divisors, whose sum is σ = 10201222100102. Its totient is φ = 10201222100100.

The previous prime is 10201222100039. The next prime is 10201222100117. The reversal of 10201222100101 is 10100122210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6454775390625 + 3746446709476 = 2540625^2 + 1935574^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201222100101 - 2²¹ = 10201220002949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201222100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100611050050 + 5100611050051.

It is an arithmetic number, because the mean of its divisors is an integer number (5100611050051).

Almost surely, 2^{10201222100101} is an apocalyptic number.

It is an amenable number.

10201222100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201222100101 is an equidigital number, since it uses as much as digits as its factorization.

10201222100101 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 10201222100101 its reverse (10100122210201), we get a palindrome (20301344310302).

The spelling of 10201222100101 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred thousand, one hundred one".