10201222201201 has 2 divisors, whose sum is σ = 10201222201202. Its totient is φ = 10201222201200.

The previous prime is 10201222201097. The next prime is 10201222201249. The reversal of 10201222201201 is 10210222210201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10198767989601 + 2454211600 = 3193551^2 + 49540^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201222201201 - 2¹⁵ = 10201222168433 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201222201601) 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, 5100611100600 + 5100611100601.

It is an arithmetic number, because the mean of its divisors is an integer number (5100611100601).

Almost surely, 2^{10201222201201} is an apocalyptic number.

It is an amenable number.

10201222201201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201222201201 is an equidigital number, since it uses as much as digits as its factorization.

10201222201201 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 10201222201201 its reverse (10210222210201), we get a palindrome (20411444411402).

It can be divided in two parts, 1020122220120 and 1, that added together give a square (1020122220121 = 1010011²).

The spelling of 10201222201201 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, two hundred one thousand, two hundred one".