100434101203124 has 48 divisors (see below), whose sum is σ = 194397165838848. Its totient is φ = 45100955737728.

The previous prime is 100434101203123. The next prime is 100434101203127. The reversal of 100434101203124 is 421302101434001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 100434101203093 and 100434101203102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100434101203123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291327197 + ... + 291671739.

It is an arithmetic number, because the mean of its divisors is an integer number (4049940954976).

Almost surely, 2^{100434101203124} is an apocalyptic number.

It is an amenable number.

100434101203124 is a deficient number, since it is larger than the sum of its proper divisors (93963064635724).

100434101203124 is a wasteful number, since it uses less digits than its factorization.

100434101203124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496104 (or 496102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 100434101203124 its reverse (421302101434001), we get a palindrome (521736202637125).

The spelling of 100434101203124 in words is "one hundred trillion, four hundred thirty-four billion, one hundred one million, two hundred three thousand, one hundred twenty-four".