101031404401 has 12 divisors (see below), whose sum is σ = 101724635700. Its totient is φ = 100341123168.

The previous prime is 101031404381. The next prime is 101031404491. The reversal of 101031404401 is 104404130101.

It can be written as a sum of positive squares in 2 ways, for example, as 41097020176 + 59934384225 = 202724^2 + 244815^2 .

It is not a de Polignac number, because 101031404401 - 2¹³ = 101031396209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101031404491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117614710 + ... + 117615568.

It is an arithmetic number, because the mean of its divisors is an integer number (8477052975).

Almost surely, 2^101031404401 is an apocalyptic number.

It is an amenable number.

101031404401 is a deficient number, since it is larger than the sum of its proper divisors (693231299).

101031404401 is an frugal number, since it uses more digits than its factorization.

101031404401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101031404401 its reverse (104404130101), we get a palindrome (205435534502).

The spelling of 101031404401 in words is "one hundred one billion, thirty-one million, four hundred four thousand, four hundred one".