101331201890041 has 2 divisors, whose sum is σ = 101331201890042. Its totient is φ = 101331201890040.

The previous prime is 101331201890027. The next prime is 101331201890057. The reversal of 101331201890041 is 140098102133101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95693882405625 + 5637319484416 = 9782325^2 + 2374304^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331201890041 - 2¹³ = 101331201881849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101331201889979 and 101331201890006.

It is not a weakly prime, because it can be changed into another prime (101331201890011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665600945020 + 50665600945021.

It is an arithmetic number, because the mean of its divisors is an integer number (50665600945021).

Almost surely, 2^{101331201890041} is an apocalyptic number.

It is an amenable number.

101331201890041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331201890041 is an equidigital number, since it uses as much as digits as its factorization.

101331201890041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 101331201890041 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred one million, eight hundred ninety thousand, forty-one".