101113443401 has 24 divisors (see below), whose sum is σ = 108167439240. Its totient is φ = 94494698496.

The previous prime is 101113443371. The next prime is 101113443419. The reversal of 101113443401 is 104344311101.

It can be written as a sum of positive squares in 4 ways, for example, as 1636283401 + 99477160000 = 40451^2 + 315400^2 .

It is not a de Polignac number, because 101113443401 - 2⁶ = 101113443337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101113403401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11095835 + ... + 11104943.

It is an arithmetic number, because the mean of its divisors is an integer number (4506976635).

Almost surely, 2^101113443401 is an apocalyptic number.

It is an amenable number.

101113443401 is a deficient number, since it is larger than the sum of its proper divisors (7053995839).

101113443401 is an equidigital number, since it uses as much as digits as its factorization.

101113443401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9561 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101113443401 its reverse (104344311101), we get a palindrome (205457754502).

The spelling of 101113443401 in words is "one hundred one billion, one hundred thirteen million, four hundred forty-three thousand, four hundred one".