100442134101 has 32 divisors (see below), whose sum is σ = 142247485440. Its totient is φ = 62958033216.

The previous prime is 100442134099. The next prime is 100442134129. The reversal of 100442134101 is 101431244001.

It is not a de Polignac number, because 100442134101 - 2¹ = 100442134099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442134141) 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 31 ways as a sum of consecutive naturals, for example, 290290 + ... + 533996.

It is an arithmetic number, because the mean of its divisors is an integer number (4445233920).

Almost surely, 2^100442134101 is an apocalyptic number.

It is an amenable number.

100442134101 is a deficient number, since it is larger than the sum of its proper divisors (41805351339).

100442134101 is a wasteful number, since it uses less digits than its factorization.

100442134101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243873.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100442134101 its reverse (101431244001), we get a palindrome (201873378102).

The spelling of 100442134101 in words is "one hundred billion, four hundred forty-two million, one hundred thirty-four thousand, one hundred one".