102004232142042 has 48 divisors (see below), whose sum is σ = 221994043850592. Its totient is φ = 33849906810720.

The previous prime is 102004232142013. The next prime is 102004232142053. The reversal of 102004232142042 is 240241232400201.

It is a happy number.

102004232142042 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 4 + 232 + 1 + 420 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102004232141997 and 102004232142015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81182353 + ... + 82429259.

It is an arithmetic number, because the mean of its divisors is an integer number (4624875913554).

Almost surely, 2^{102004232142042} is an apocalyptic number.

102004232142042 is an abundant number, since it is smaller than the sum of its proper divisors (119989811708550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102004232142042 is a wasteful number, since it uses less digits than its factorization.

102004232142042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267163 (or 1267160 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102004232142042 its reverse (240241232400201), we get a palindrome (342245464542243).

The spelling of 102004232142042 in words is "one hundred two trillion, four billion, two hundred thirty-two million, one hundred forty-two thousand, forty-two".