101120010112229 has 2 divisors, whose sum is σ = 101120010112230. Its totient is φ = 101120010112228.

The previous prime is 101120010112181. The next prime is 101120010112309. The reversal of 101120010112229 is 922211010021101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96678095580004 + 4441914532225 = 9832502^2 + 2107585^2 .

It is an emirp because it is prime and its reverse (922211010021101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101120010112229 - 2²⁸ = 101119741676773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120010112729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560005056114 + 50560005056115.

It is an arithmetic number, because the mean of its divisors is an integer number (50560005056115).

Almost surely, 2^{101120010112229} is an apocalyptic number.

It is an amenable number.

101120010112229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120010112229 is an equidigital number, since it uses as much as digits as its factorization.

101120010112229 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 23.

The spelling of 101120010112229 in words is "one hundred one trillion, one hundred twenty billion, ten million, one hundred twelve thousand, two hundred twenty-nine".