10102400441 has 8 divisors (see below), whose sum is σ = 11548064640. Its totient is φ = 8657352288.

The previous prime is 10102400393. The next prime is 10102400449. The reversal of 10102400441 is 14400420101.

10102400441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10102400441 - 2¹⁴ = 10102384057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102400449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118316 + ... + 184941.

It is an arithmetic number, because the mean of its divisors is an integer number (1443508080).

Almost surely, 2^10102400441 is an apocalyptic number.

It is an amenable number.

10102400441 is a deficient number, since it is larger than the sum of its proper divisors (1445664199).

10102400441 is an equidigital number, since it uses as much as digits as its factorization.

10102400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308023.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10102400441 its reverse (14400420101), we get a palindrome (24502820542).

The spelling of 10102400441 in words is "ten billion, one hundred two million, four hundred thousand, four hundred forty-one".