101141131009 has 2 divisors, whose sum is σ = 101141131010. Its totient is φ = 101141131008.

The previous prime is 101141130991. The next prime is 101141131019. The reversal of 101141131009 is 900131141101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97486323984 + 3654807025 = 312228^2 + 60455^2 .

It is a cyclic number.

It is not a de Polignac number, because 101141131009 - 2⁵ = 101141130977 is a prime.

It is not a weakly prime, because it can be changed into another prime (101141131019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50570565504 + 50570565505.

It is an arithmetic number, because the mean of its divisors is an integer number (50570565505).

Almost surely, 2^101141131009 is an apocalyptic number.

It is an amenable number.

101141131009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101141131009 is an equidigital number, since it uses as much as digits as its factorization.

101141131009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 101141131009 in words is "one hundred one billion, one hundred forty-one million, one hundred thirty-one thousand, nine".