100001000122001 has 4 divisors (see below), whose sum is σ = 109092000133104. Its totient is φ = 90910000110900.

The previous prime is 100001000121989. The next prime is 100001000122013. The reversal of 100001000122001 is 100221000100001.

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 an interprime number because it is at equal distance from previous prime (100001000121989) and next prime (100001000122013).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001000122001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100001000122001.

It is not an unprimeable number, because it can be changed into a prime (100001000122031) 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, 4545500005535 + ... + 4545500005556.

It is an arithmetic number, because the mean of its divisors is an integer number (27273000033276).

Almost surely, 2^{100001000122001} is an apocalyptic number.

100001000122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001000122001 is a deficient number, since it is larger than the sum of its proper divisors (9091000011103).

100001000122001 is an equidigital number, since it uses as much as digits as its factorization.

100001000122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091000011102.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001000122001 its reverse (100221000100001), we get a palindrome (200222000222002).

The spelling of 100001000122001 in words is "one hundred trillion, one billion, one hundred twenty-two thousand, one".