100011122100001 has 8 divisors (see below), whose sum is σ = 121021862037120. Its totient is φ = 80681241357888.

The previous prime is 100011122099989. The next prime is 100011122100047. The reversal of 100011122100001 is 100001221110001.

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

It is a cyclic number.

It is not a de Polignac number, because 100011122100001 - 2³⁵ = 99976762361633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011122100061) 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 7 ways as a sum of consecutive naturals, for example, 420214798621 + ... + 420214798858.

It is an arithmetic number, because the mean of its divisors is an integer number (15127732754640).

Almost surely, 2^{100011122100001} is an apocalyptic number.

It is an amenable number.

100011122100001 is a deficient number, since it is larger than the sum of its proper divisors (21010739937119).

100011122100001 is an equidigital number, since it uses as much as digits as its factorization.

100011122100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840429597503.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011122100001 its reverse (100001221110001), we get a palindrome (200012343210002).

The spelling of 100011122100001 in words is "one hundred trillion, eleven billion, one hundred twenty-two million, one hundred thousand, one".