10130754601 has 16 divisors (see below), whose sum is σ = 11170224000. Its totient is φ = 9111184000.

The previous prime is 10130754577. The next prime is 10130754617. The reversal of 10130754601 is 10645703101.

10130754601 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10130754601 - 2²⁷ = 9996536873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10130754601.

It is not an unprimeable number, because it can be changed into a prime (10130754661) 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 15 ways as a sum of consecutive naturals, for example, 1729125 + ... + 1734973.

It is an arithmetic number, because the mean of its divisors is an integer number (698139000).

Almost surely, 2^10130754601 is an apocalyptic number.

10130754601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10130754601 is a deficient number, since it is larger than the sum of its proper divisors (1039469399).

10130754601 is a wasteful number, since it uses less digits than its factorization.

10130754601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520.

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 10130754601 in words is "ten billion, one hundred thirty million, seven hundred fifty-four thousand, six hundred one".