100011100220001 has 64 divisors (see below), whose sum is σ = 148753165962240. Its totient is φ = 66409872883200.

The previous prime is 100011100219949. The next prime is 100011100220023. The reversal of 100011100220001 is 100022001110001.

It is a happy number.

It is not a de Polignac number, because 100011100220001 - 2¹⁷ = 100011100088929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100011100020001) 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 63 ways as a sum of consecutive naturals, for example, 25970161726 + ... + 25970165576.

It is an arithmetic number, because the mean of its divisors is an integer number (2324268218160).

Almost surely, 2^{100011100220001} is an apocalyptic number.

It is an amenable number.

100011100220001 is a deficient number, since it is larger than the sum of its proper divisors (48742065742239).

100011100220001 is a wasteful number, since it uses less digits than its factorization.

100011100220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7723 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011100220001 its reverse (100022001110001), we get a palindrome (200033101330002).

The spelling of 100011100220001 in words is "one hundred trillion, eleven billion, one hundred million, two hundred twenty thousand, one".