101112312104041 has 16 divisors (see below), whose sum is σ = 116076766965120. Its totient is φ = 86277887861760.

The previous prime is 101112312103993. The next prime is 101112312104081. The reversal of 101112312104041 is 140401213211101.

It is not a de Polignac number, because 101112312104041 - 2¹⁹ = 101112311579753 is a prime.

It is a super-2 number, since 2×101112312104041² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112312104081) 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 in 15 ways as a sum of consecutive naturals, for example, 14194761 + ... + 20092681.

It is an arithmetic number, because the mean of its divisors is an integer number (7254797935320).

Almost surely, 2^{101112312104041} is an apocalyptic number.

It is an amenable number.

101112312104041 is a deficient number, since it is larger than the sum of its proper divisors (14964454861079).

101112312104041 is a wasteful number, since it uses less digits than its factorization.

101112312104041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908944.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 101112312104041 its reverse (140401213211101), we get a palindrome (241513525315142).

The spelling of 101112312104041 in words is "one hundred one trillion, one hundred twelve billion, three hundred twelve million, one hundred four thousand, forty-one".