100042124435236 has 9 divisors (see below), whose sum is σ = 175073752769041. Its totient is φ = 50021052215512.

The previous prime is 100042124435219. The next prime is 100042124435237. The reversal of 100042124435236 is 632534421240001.

The square root of 100042124435236 is 10002106.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 91917663516900 + 8124460918336 = 9587370^2 + 2850344^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100042124435195 and 100042124435204.

It is not an unprimeable number, because it can be changed into a prime (100042124435237) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 17503686 + ... + 22504738.

Almost surely, 2^{100042124435236} is an apocalyptic number.

100042124435236 is the 10002106-th square number.

It is an amenable number.

100042124435236 is a deficient number, since it is larger than the sum of its proper divisors (75031628333805).

100042124435236 is an frugal number, since it uses more digits than its factorization.

100042124435236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002110 (or 5001055 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 100042124435236 its reverse (632534421240001), we get a palindrome (732576545675237).

The spelling of 100042124435236 in words is "one hundred trillion, forty-two billion, one hundred twenty-four million, four hundred thirty-five thousand, two hundred thirty-six".