101112220229 has 2 divisors, whose sum is σ = 101112220230. Its totient is φ = 101112220228.

The previous prime is 101112220189. The next prime is 101112220259. The reversal of 101112220229 is 922022211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96556240225 + 4555980004 = 310735^2 + 67498^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112220229 - 2⁸ = 101112219973 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112220259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556110114 + 50556110115.

It is an arithmetic number, because the mean of its divisors is an integer number (50556110115).

Almost surely, 2^101112220229 is an apocalyptic number.

It is an amenable number.

101112220229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112220229 is an equidigital number, since it uses as much as digits as its factorization.

101112220229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 101112220229 in words is "one hundred one billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-nine".