100001020101 has 32 divisors (see below), whose sum is σ = 137885046528. Its totient is φ = 64418664960.

The previous prime is 100001020087. The next prime is 100001020109. The reversal of 100001020101 is 101020100001.

It is not a de Polignac number, because 100001020101 - 2⁵ = 100001020069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001020109) 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 31 ways as a sum of consecutive naturals, for example, 9618616 + ... + 9629006.

It is an arithmetic number, because the mean of its divisors is an integer number (4308907704).

Almost surely, 2^100001020101 is an apocalyptic number.

It is an amenable number.

100001020101 is a deficient number, since it is larger than the sum of its proper divisors (37884026427).

100001020101 is a wasteful number, since it uses less digits than its factorization.

100001020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100001020101 its reverse (101020100001), we get a palindrome (201021120102).

The spelling of 100001020101 in words is "one hundred billion, one million, twenty thousand, one hundred one".