101432103034041 has 24 divisors (see below), whose sum is σ = 158008354640136. Its totient is φ = 62330711788800.

The previous prime is 101432103034039. The next prime is 101432103034069. The reversal of 101432103034041 is 140430301234101.

101432103034041 is a `hidden beast` number, since 1 + 0 + 1 + 43 + 210 + 3 + 0 + 3 + 404 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13515769904400 + 87916333129641 = 3676380^2 + 9376371^2 .

It is not a de Polignac number, because 101432103034041 - 2¹ = 101432103034039 is a prime.

It is a super-3 number, since 3×101432103034041³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101432103033996 and 101432103034014.

It is not an unprimeable number, because it can be changed into a prime (101432103034001) 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 in 23 ways as a sum of consecutive naturals, for example, 618278220 + ... + 618442253.

It is an arithmetic number, because the mean of its divisors is an integer number (6583681443339).

Almost surely, 2^{101432103034041} is an apocalyptic number.

It is an amenable number.

101432103034041 is a deficient number, since it is larger than the sum of its proper divisors (56576251606095).

101432103034041 is a wasteful number, since it uses less digits than its factorization.

101432103034041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236721193 (or 1236721190 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101432103034041 its reverse (140430301234101), we get a palindrome (241862404268142).

The spelling of 101432103034041 in words is "one hundred one trillion, four hundred thirty-two billion, one hundred three million, thirty-four thousand, forty-one".