100001021000113 has 8 divisors (see below), whose sum is σ = 100991389110696. Its totient is φ = 99010657968000.

The previous prime is 100001021000053. The next prime is 100001021000143. The reversal of 100001021000113 is 311000120100001.

It can be written as a sum of positive squares in 4 ways, for example, as 34338392850609 + 65662628149504 = 5859897^2 + 8103248^2 .

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 100001021000113 - 2⁹ = 100001020999601 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 100001021000113.

It is not an unprimeable number, because it can be changed into a prime (100001021000143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47561373 + ... + 49619413.

It is an arithmetic number, because the mean of its divisors is an integer number (12623923638837).

Almost surely, 2^{100001021000113} is an apocalyptic number.

It is an amenable number.

100001021000113 is a deficient number, since it is larger than the sum of its proper divisors (990368110583).

100001021000113 is a wasteful number, since it uses less digits than its factorization.

100001021000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539235.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100001021000113 its reverse (311000120100001), we get a palindrome (411001141100114).

The spelling of 100001021000113 in words is "one hundred trillion, one billion, twenty-one million, one hundred thirteen", and thus it is an aban number.