101142021041 has 2 divisors, whose sum is σ = 101142021042. Its totient is φ = 101142021040.

The previous prime is 101142021017. The next prime is 101142021047. The reversal of 101142021041 is 140120241101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57588000625 + 43554020416 = 239975^2 + 208696^2 .

It is an emirp because it is prime and its reverse (140120241101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101142021041 - 2²² = 101137826737 is a prime.

It is not a weakly prime, because it can be changed into another prime (101142021047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50571010520 + 50571010521.

It is an arithmetic number, because the mean of its divisors is an integer number (50571010521).

Almost surely, 2^101142021041 is an apocalyptic number.

It is an amenable number.

101142021041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101142021041 is an equidigital number, since it uses as much as digits as its factorization.

101142021041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101142021041 its reverse (140120241101), we get a palindrome (241262262142).

The spelling of 101142021041 in words is "one hundred one billion, one hundred forty-two million, twenty-one thousand, forty-one".