103042431142101 has 48 divisors (see below), whose sum is σ = 164429043966720. Its totient is φ = 61658013456000.

The previous prime is 103042431142097. The next prime is 103042431142117. The reversal of 103042431142101 is 101241134240301.

It is a happy number.

103042431142101 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 2 + 431 + 14 + 210 + 1 = 666.

It is not a de Polignac number, because 103042431142101 - 2² = 103042431142097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103042431142601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402348471 + ... + 402604491.

It is an arithmetic number, because the mean of its divisors is an integer number (3425605082640).

Almost surely, 2^{103042431142101} is an apocalyptic number.

103042431142101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103042431142101 is a deficient number, since it is larger than the sum of its proper divisors (61386612824619).

103042431142101 is a wasteful number, since it uses less digits than its factorization.

103042431142101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307578 (or 307575 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 103042431142101 its reverse (101241134240301), we get a palindrome (204283565382402).

The spelling of 103042431142101 in words is "one hundred three trillion, forty-two billion, four hundred thirty-one million, one hundred forty-two thousand, one hundred one".