101222101012229 has 2 divisors, whose sum is σ = 101222101012230. Its totient is φ = 101222101012228.

The previous prime is 101222101012183. The next prime is 101222101012231. The reversal of 101222101012229 is 922210101222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94289964931204 + 6932136081025 = 9710302^2 + 2632895^2 .

It is an emirp because it is prime and its reverse (922210101222101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101222101012229 is a prime.

It is a super-2 number, since 2×101222101012229² (a number of 29 digits) contains 22 as substring.

Together with 101222101012231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222101012198 and 101222101012207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222101018229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611050506114 + 50611050506115.

It is an arithmetic number, because the mean of its divisors is an integer number (50611050506115).

Almost surely, 2^{101222101012229} is an apocalyptic number.

It is an amenable number.

101222101012229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222101012229 is an equidigital number, since it uses as much as digits as its factorization.

101222101012229 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 26.

The spelling of 101222101012229 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred one million, twelve thousand, two hundred twenty-nine".