100010500100001 has 24 divisors (see below), whose sum is σ = 152078891968640. Its totient is φ = 63157820709600.

The previous prime is 100010500099969. The next prime is 100010500100009. The reversal of 100010500100001 is 100001005010001.

It is not a de Polignac number, because 100010500100001 - 2⁵ = 100010500099969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010500100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29429065 + ... + 32651046.

Almost surely, 2^{100010500100001} is an apocalyptic number.

It is an amenable number.

100010500100001 is a deficient number, since it is larger than the sum of its proper divisors (52068391868639).

100010500100001 is a wasteful number, since it uses less digits than its factorization.

100010500100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62089557 (or 62089554 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 100010500100001 its reverse (100001005010001), we get a palindrome (200011505110002).

The spelling of 100010500100001 in words is "one hundred trillion, ten billion, five hundred million, one hundred thousand, one".