100131122401 has 8 divisors (see below), whose sum is σ = 100704810024. Its totient is φ = 99557660160.

The previous prime is 100131122389. The next prime is 100131122447. The reversal of 100131122401 is 104221131001.

It can be written as a sum of positive squares in 4 ways, for example, as 817902801 + 99313219600 = 28599^2 + 315140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100131122401 - 2²⁹ = 99594251489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100131122491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879015 + ... + 986371.

It is an arithmetic number, because the mean of its divisors is an integer number (12588101253).

Almost surely, 2^100131122401 is an apocalyptic number.

It is an amenable number.

100131122401 is a deficient number, since it is larger than the sum of its proper divisors (573687623).

100131122401 is a wasteful number, since it uses less digits than its factorization.

100131122401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112691.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100131122401 its reverse (104221131001), we get a palindrome (204352253402).

The spelling of 100131122401 in words is "one hundred billion, one hundred thirty-one million, one hundred twenty-two thousand, four hundred one".