101202212100229 has 2 divisors, whose sum is σ = 101202212100230. Its totient is φ = 101202212100228.

The previous prime is 101202212100179. The next prime is 101202212100259. The reversal of 101202212100229 is 922001212202101.

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., 77695374992004 + 23506837108225 = 8814498^2 + 4848385^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202212100229 - 2³⁹ = 100652456286341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101202212100259) 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, 50601106050114 + 50601106050115.

It is an arithmetic number, because the mean of its divisors is an integer number (50601106050115).

Almost surely, 2^{101202212100229} is an apocalyptic number.

It is an amenable number.

101202212100229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202212100229 is an equidigital number, since it uses as much as digits as its factorization.

101202212100229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 101202212100229 in words is "one hundred one trillion, two hundred two billion, two hundred twelve million, one hundred thousand, two hundred twenty-nine".