101112021041 has 2 divisors, whose sum is σ = 101112021042. Its totient is φ = 101112021040.

The previous prime is 101112021029. The next prime is 101112021077. The reversal of 101112021041 is 140120211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83807934016 + 17304087025 = 289496^2 + 131545^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112021041 - 2¹⁰ = 101112020017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112021091) 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, 50556010520 + 50556010521.

It is an arithmetic number, because the mean of its divisors is an integer number (50556010521).

Almost surely, 2^101112021041 is an apocalyptic number.

It is an amenable number.

101112021041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112021041 is an equidigital number, since it uses as much as digits as its factorization.

101112021041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112021041 its reverse (140120211101), we get a palindrome (241232232142).

The spelling of 101112021041 in words is "one hundred one billion, one hundred twelve million, twenty-one thousand, forty-one".