100124133401 has 6 divisors (see below), whose sum is σ = 100506350490. Its totient is φ = 99743364368.

The previous prime is 100124133397. The next prime is 100124133409. The reversal of 100124133401 is 104331421001.

It can be written as a sum of positive squares in only one way, i.e., 85992630025 + 14131503376 = 293245^2 + 118876^2 .

It is not a de Polignac number, because 100124133401 - 2² = 100124133397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100124133409) 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 5 ways as a sum of consecutive naturals, for example, 654596 + ... + 792933.

It is an arithmetic number, because the mean of its divisors is an integer number (16751058415).

Almost surely, 2^100124133401 is an apocalyptic number.

It is an amenable number.

100124133401 is a deficient number, since it is larger than the sum of its proper divisors (382217089).

100124133401 is an frugal number, since it uses more digits than its factorization.

100124133401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448055 (or 1447792 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100124133401 its reverse (104331421001), we get a palindrome (204455554402).

The spelling of 100124133401 in words is "one hundred billion, one hundred twenty-four million, one hundred thirty-three thousand, four hundred one".