100001000101 has 4 divisors (see below), whose sum is σ = 100001838412. Its totient is φ = 100000161792.

The previous prime is 100001000083. The next prime is 100001000117. The reversal of 100001000101 is 101000100001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 2407864900 + 97593135201 = 49070^2 + 312399^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001000101 - 2³⁵ = 65641261733 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 (100001000131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203100 + ... + 491173.

It is an arithmetic number, because the mean of its divisors is an integer number (25000459603).

Almost surely, 2^100001000101 is an apocalyptic number.

It is an amenable number.

100001000101 is a deficient number, since it is larger than the sum of its proper divisors (838311).

100001000101 is an equidigital number, since it uses as much as digits as its factorization.

100001000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838310.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100001000101 its reverse (101000100001), we get a palindrome (201001100102).

It can be divided in two parts, 10000 and 1000101, that added together give a palindrome (1010101).

The spelling of 100001000101 in words is "one hundred billion, one million, one hundred one", and thus it is an aban number.