10000011105553 has 24 divisors (see below), whose sum is σ = 12037378562280. Its totient is φ = 8273404984320.

The previous prime is 10000011105551. The next prime is 10000011105571. The reversal of 10000011105553 is 35550111000001.

It can be written as a sum of positive squares in 4 ways, for example, as 6399038055424 + 3600973050129 = 2529632^2 + 1897623^2 .

It is not a de Polignac number, because 10000011105553 - 2¹ = 10000011105551 is a prime.

It is a super-2 number, since 2×10000011105553² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000011105551) 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 23 ways as a sum of consecutive naturals, for example, 3729075 + ... + 5822887.

It is an arithmetic number, because the mean of its divisors is an integer number (501557440095).

Almost surely, 2^{10000011105553} is an apocalyptic number.

It is an amenable number.

10000011105553 is a deficient number, since it is larger than the sum of its proper divisors (2037367456727).

10000011105553 is a wasteful number, since it uses less digits than its factorization.

10000011105553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097217 (or 2097210 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 22.

Adding to 10000011105553 its reverse (35550111000001), we get a palindrome (45550122105554).

The spelling of 10000011105553 in words is "ten trillion, eleven million, one hundred five thousand, five hundred fifty-three".