100100001000101 has 4 divisors (see below), whose sum is σ = 100771813087500. Its totient is φ = 99428188912704.

The previous prime is 100100001000089. The next prime is 100100001000217. The reversal of 100100001000101 is 101000100001001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29759741652001 + 70340259348100 = 5455249^2 + 8386910^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100001000101 - 2²² = 100099996805797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335906043476 + ... + 335906043773.

It is an arithmetic number, because the mean of its divisors is an integer number (25192953271875).

Almost surely, 2^{100100001000101} is an apocalyptic number.

It is an amenable number.

100100001000101 is a deficient number, since it is larger than the sum of its proper divisors (671812087399).

100100001000101 is an equidigital number, since it uses as much as digits as its factorization.

100100001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671812087398.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100001000101 its reverse (101000100001001), we get a palindrome (201100101001102).

The spelling of 100100001000101 in words is "one hundred trillion, one hundred billion, one million, one hundred one", and thus it is an aban number.