100112131312429 has 2 divisors, whose sum is σ = 100112131312430. Its totient is φ = 100112131312428.

The previous prime is 100112131312399. The next prime is 100112131312447. The reversal of 100112131312429 is 924213131211001.

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., 97928539933225 + 2183591379204 = 9895885^2 + 1477698^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112131312429 - 2⁵ = 100112131312397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100112131312429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112131312489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056065656214 + 50056065656215.

It is an arithmetic number, because the mean of its divisors is an integer number (50056065656215).

Almost surely, 2^{100112131312429} is an apocalyptic number.

It is an amenable number.

100112131312429 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112131312429 is an equidigital number, since it uses as much as digits as its factorization.

100112131312429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 100112131312429 in words is "one hundred trillion, one hundred twelve billion, one hundred thirty-one million, three hundred twelve thousand, four hundred twenty-nine".