101011022212201 has 2 divisors, whose sum is σ = 101011022212202. Its totient is φ = 101011022212200.

The previous prime is 101011022212171. The next prime is 101011022212237. The reversal of 101011022212201 is 102212220110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88772576486400 + 12238445725801 = 9421920^2 + 3498349^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011022212201 - 2¹³ = 101011022204009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011022212271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505511106100 + 50505511106101.

It is an arithmetic number, because the mean of its divisors is an integer number (50505511106101).

Almost surely, 2^{101011022212201} is an apocalyptic number.

It is an amenable number.

101011022212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011022212201 is an equidigital number, since it uses as much as digits as its factorization.

101011022212201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101011022212201 its reverse (102212220110101), we get a palindrome (203223242322302).

The spelling of 101011022212201 in words is "one hundred one trillion, eleven billion, twenty-two million, two hundred twelve thousand, two hundred one".