101112229 has 2 divisors, whose sum is σ = 101112230. Its totient is φ = 101112228.

The previous prime is 101112217. The next prime is 101112233. The reversal of 101112229 is 922211101.

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., 95589729 + 5522500 = 9777^2 + 2350^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112229 - 2²⁵ = 67557797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556114 + 50556115.

It is an arithmetic number, because the mean of its divisors is an integer number (50556115).

Almost surely, 2^101112229 is an apocalyptic number.

It is an amenable number.

101112229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112229 is an equidigital number, since it uses as much as digits as its factorization.

101112229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 101112229 is about 10055.4576723290. The cubic root of 101112229 is about 465.8733791808.

The spelling of 101112229 in words is "one hundred one million, one hundred twelve thousand, two hundred twenty-nine".