100001010100001 has 8 divisors (see below), whose sum is σ = 100016281008000. Its totient is φ = 99985740058240.

The previous prime is 100001010099961. The next prime is 100001010100031.

100001010100001 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001010100001 is a prime.

100001010100001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001010100031) 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, 252898436 + ... + 253293546.

It is an arithmetic number, because the mean of its divisors is an integer number (12502035126000).

Almost surely, 2^{100001010100001} is an apocalyptic number.

It is an amenable number.

100001010100001 is a deficient number, since it is larger than the sum of its proper divisors (15270907999).

100001010100001 is an equidigital number, since it uses as much as digits as its factorization.

100001010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433119.

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

The spelling of 100001010100001 in words is "one hundred trillion, one billion, ten million, one hundred thousand, one".