10100000048581 has 32 divisors (see below), whose sum is σ = 10388658364416. Its totient is φ = 9816360960000.

The previous prime is 10100000048563. The next prime is 10100000048647. The reversal of 10100000048581 is 18584000000101.

It is a cyclic number.

It is not a de Polignac number, because 10100000048581 - 2¹⁷ = 10099999917509 is a prime.

It is a super-2 number, since 2×10100000048581² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000045581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1760499145 + ... + 1760504881.

It is an arithmetic number, because the mean of its divisors is an integer number (324645573888).

Almost surely, 2^{10100000048581} is an apocalyptic number.

It is an amenable number.

10100000048581 is a deficient number, since it is larger than the sum of its proper divisors (288658315835).

10100000048581 is a wasteful number, since it uses less digits than its factorization.

10100000048581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933.

The product of its (nonzero) digits is 1280, while the sum is 28.

Adding to 10100000048581 its reverse (18584000000101), we get a palindrome (28684000048682).

The spelling of 10100000048581 in words is "ten trillion, one hundred billion, forty-eight thousand, five hundred eighty-one".