100112029 has 2 divisors, whose sum is σ = 100112030. Its totient is φ = 100112028.

The previous prime is 100112009. The next prime is 100112063. The reversal of 100112029 is 920211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57836025 + 42276004 = 7605^2 + 6502^2 .

It is an emirp because it is prime and its reverse (920211001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100112029 - 2²⁵ = 66557597 is a prime.

It is a super-4 number, since 4×100112029⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056014 + 50056015.

It is an arithmetic number, because the mean of its divisors is an integer number (50056015).

Almost surely, 2^100112029 is an apocalyptic number.

It is an amenable number.

100112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112029 is an equidigital number, since it uses as much as digits as its factorization.

100112029 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 16.

The square root of 100112029 is about 10005.5998820660. The cubic root of 100112029 is about 464.3321495264.

The spelling of 100112029 in words is "one hundred million, one hundred twelve thousand, twenty-nine".