101111046370429 has 2 divisors, whose sum is σ = 101111046370430. Its totient is φ = 101111046370428.

The previous prime is 101111046370387. The next prime is 101111046370457. The reversal of 101111046370429 is 924073640111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94092134012100 + 7018912358329 = 9700110^2 + 2649323^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111046370429 - 2⁹ = 101111046369917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111046370391 and 101111046370400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111046310429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555523185214 + 50555523185215.

It is an arithmetic number, because the mean of its divisors is an integer number (50555523185215).

Almost surely, 2^{101111046370429} is an apocalyptic number.

It is an amenable number.

101111046370429 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111046370429 is an equidigital number, since it uses as much as digits as its factorization.

101111046370429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 101111046370429 in words is "one hundred one trillion, one hundred eleven billion, forty-six million, three hundred seventy thousand, four hundred twenty-nine".