101020110212209 has 2 divisors, whose sum is σ = 101020110212210. Its totient is φ = 101020110212208.

The previous prime is 101020110212191. The next prime is 101020110212227. The reversal of 101020110212209 is 902212011020101.

It is a balanced prime because it is at equal distance from previous prime (101020110212191) and next prime (101020110212227).

It can be written as a sum of positive squares in only one way, i.e., 73117839504609 + 27902270707600 = 8550897^2 + 5282260^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020110212209 - 2¹³ = 101020110204017 is a prime.

It is a super-3 number, since 3×101020110212209³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101020110212209.

It is not a weakly prime, because it can be changed into another prime (101020110212239) 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, 50510055106104 + 50510055106105.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055106105).

Almost surely, 2^{101020110212209} is an apocalyptic number.

It is an amenable number.

101020110212209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020110212209 is an equidigital number, since it uses as much as digits as its factorization.

101020110212209 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 101020110212209 in words is "one hundred one trillion, twenty billion, one hundred ten million, two hundred twelve thousand, two hundred nine".