101022212100109 has 2 divisors, whose sum is σ = 101022212100110. Its totient is φ = 101022212100108.

The previous prime is 101022212100091. The next prime is 101022212100143. The reversal of 101022212100109 is 901001212220101.

Together with previous prime (101022212100091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95273021424100 + 5749190676009 = 9760790^2 + 2397747^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022212100109 - 2¹¹ = 101022212098061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101022212100109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022212100149) 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, 50511106050054 + 50511106050055.

It is an arithmetic number, because the mean of its divisors is an integer number (50511106050055).

Almost surely, 2^{101022212100109} is an apocalyptic number.

It is an amenable number.

101022212100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022212100109 is an equidigital number, since it uses as much as digits as its factorization.

101022212100109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 101022212100109 in words is "one hundred one trillion, twenty-two billion, two hundred twelve million, one hundred thousand, one hundred nine".