101442000424041 has 24 divisors (see below), whose sum is σ = 154300822378560. Its totient is φ = 64094187728736.

The previous prime is 101442000423977. The next prime is 101442000424153. The reversal of 101442000424041 is 140424000244101.

It is a happy number.

101442000424041 is a `hidden beast` number, since 1 + 0 + 14 + 4 + 200 + 0 + 42 + 404 + 1 = 666.

It is not a de Polignac number, because 101442000424041 - 2⁶ = 101442000423977 is a prime.

It is a super-2 number, since 2×101442000424041² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101442000423996 and 101442000424014.

It is not an unprimeable number, because it can be changed into a prime (101442000424441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2247949791 + ... + 2247994916.

It is an arithmetic number, because the mean of its divisors is an integer number (6429200932440).

Almost surely, 2^{101442000424041} is an apocalyptic number.

It is an amenable number.

101442000424041 is a deficient number, since it is larger than the sum of its proper divisors (52858821954519).

101442000424041 is a wasteful number, since it uses less digits than its factorization.

101442000424041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495944845 (or 4495944842 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 101442000424041 its reverse (140424000244101), we get a palindrome (241866000668142).

The spelling of 101442000424041 in words is "one hundred one trillion, four hundred forty-two billion, four hundred twenty-four thousand, forty-one".