100131111001 has 4 divisors (see below), whose sum is σ = 106021176372. Its totient is φ = 94241045632.

The previous prime is 100131110969. The next prime is 100131111011. The reversal of 100131111001 is 100111131001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 86480693776 + 13650417225 = 294076^2 + 116835^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131111001 - 2⁵ = 100131110969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100131111011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2945032660 + ... + 2945032693.

It is an arithmetic number, because the mean of its divisors is an integer number (26505294093).

Almost surely, 2^100131111001 is an apocalyptic number.

It is an amenable number.

100131111001 is a deficient number, since it is larger than the sum of its proper divisors (5890065371).

100131111001 is an equidigital number, since it uses as much as digits as its factorization.

100131111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890065370.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 100131111001 its reverse (100111131001), we get a palindrome (200242242002).

The spelling of 100131111001 in words is "one hundred billion, one hundred thirty-one million, one hundred eleven thousand, one".