10100044400353 has 2 divisors, whose sum is σ = 10100044400354. Its totient is φ = 10100044400352.

The previous prime is 10100044400339. The next prime is 10100044400401. The reversal of 10100044400353 is 35300444000101.

10100044400353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8345818321569 + 1754226078784 = 2888913^2 + 1324472^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100044400353 - 2⁵ = 10100044400321 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100044400153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050022200176 + 5050022200177.

It is an arithmetic number, because the mean of its divisors is an integer number (5050022200177).

Almost surely, 2^{10100044400353} is an apocalyptic number.

It is an amenable number.

10100044400353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100044400353 is an equidigital number, since it uses as much as digits as its factorization.

10100044400353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10100044400353 its reverse (35300444000101), we get a palindrome (45400488400454).

The spelling of 10100044400353 in words is "ten trillion, one hundred billion, forty-four million, four hundred thousand, three hundred fifty-three".