101010022021201 has 2 divisors, whose sum is σ = 101010022021202. Its totient is φ = 101010022021200.

The previous prime is 101010022021189. The next prime is 101010022021211. The reversal of 101010022021201 is 102120220010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97670704356801 + 3339317664400 = 9882849^2 + 1827380^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010022021201 - 2¹³ = 101010022013009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010022021211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505011010600 + 50505011010601.

It is an arithmetic number, because the mean of its divisors is an integer number (50505011010601).

Almost surely, 2^{101010022021201} is an apocalyptic number.

It is an amenable number.

101010022021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010022021201 is an equidigital number, since it uses as much as digits as its factorization.

101010022021201 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 101010022021201 its reverse (102120220010101), we get a palindrome (203130242031302).

The spelling of 101010022021201 in words is "one hundred one trillion, ten billion, twenty-two million, twenty-one thousand, two hundred one".