100002000110001 has 32 divisors (see below), whose sum is σ = 145728474118656. Its totient is φ = 60494371776000.

The previous prime is 100002000109943. The next prime is 100002000110017. The reversal of 100002000110001 is 100011000200001.

100002000110001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100002000110001 - 2²¹ = 100001998012849 is a prime.

It is a super-2 number, since 2×100002000110001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100002000115001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171009825 + ... + 171593601.

It is an arithmetic number, because the mean of its divisors is an integer number (4554014816208).

Almost surely, 2^{100002000110001} is an apocalyptic number.

100002000110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002000110001 is a deficient number, since it is larger than the sum of its proper divisors (45726474008655).

100002000110001 is a wasteful number, since it uses less digits than its factorization.

100002000110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593453.

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

Adding to 100002000110001 its reverse (100011000200001), we get a palindrome (200013000310002).

The spelling of 100002000110001 in words is "one hundred trillion, two billion, one hundred ten thousand, one".