10000001100001 has 4 divisors (see below), whose sum is σ = 10909092109104. Its totient is φ = 9090910090900.

The previous prime is 10000001099951. The next prime is 10000001100017. The reversal of 10000001100001 is 10000110000001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10000001100001 - 2¹³ = 10000001091809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000001100701) 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, 454545504535 + ... + 454545504556.

It is an arithmetic number, because the mean of its divisors is an integer number (2727273027276).

Almost surely, 2^{10000001100001} is an apocalyptic number.

10000001100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000001100001 is a deficient number, since it is larger than the sum of its proper divisors (909091009103).

10000001100001 is an equidigital number, since it uses as much as digits as its factorization.

10000001100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909091009102.

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

Adding to 10000001100001 its reverse (10000110000001), we get a palindrome (20000111100002).

It can be divided in two parts, 10000001 and 100001, that multiplied together give a palindrome (1000010100001).

The spelling of 10000001100001 in words is "ten trillion, one million, one hundred thousand, one".