10000103121040 has 40 divisors (see below), whose sum is σ = 23251757383800. Its totient is φ = 3999780151296.

The previous prime is 10000103121031. The next prime is 10000103121053. The reversal of 10000103121040 is 4012130100001.

It can be written as a sum of positive squares in 4 ways, for example, as 138392928144 + 9861710192896 = 372012^2 + 3140336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10000103121040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2844049 + ... + 5299888.

It is an arithmetic number, because the mean of its divisors is an integer number (581293934595).

Almost surely, 2^{10000103121040} is an apocalyptic number.

10000103121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000103121040 is an abundant number, since it is smaller than the sum of its proper divisors (13251654262760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000103121040 is a wasteful number, since it uses less digits than its factorization.

10000103121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159299 (or 8159293 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10000103121040 its reverse (4012130100001), we get a palindrome (14012233221041).

The spelling of 10000103121040 in words is "ten trillion, one hundred three million, one hundred twenty-one thousand, forty".