101112029 has 2 divisors, whose sum is σ = 101112030. Its totient is φ = 101112028.

The previous prime is 101112013. The next prime is 101112059. The reversal of 101112029 is 920211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62647225 + 38464804 = 7915^2 + 6202^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112029 - 2⁴ = 101112013 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101111998 and 101112016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556014 + 50556015.

It is an arithmetic number, because the mean of its divisors is an integer number (50556015).

Almost surely, 2^101112029 is an apocalyptic number.

It is an amenable number.

101112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112029 is an equidigital number, since it uses as much as digits as its factorization.

101112029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 101112029 is about 10055.4477274759. The cubic root of 101112029 is about 465.8730720147.

The spelling of 101112029 in words is "one hundred one million, one hundred twelve thousand, twenty-nine".