100011001220001 has 24 divisors (see below), whose sum is σ = 148373436640104. Its totient is φ = 64868166938880.

The previous prime is 100011001219993. The next prime is 100011001220017. The reversal of 100011001220001 is 100022100110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62678889000000 + 37332112220001 = 7917000^2 + 6110001^2 .

It is not a de Polignac number, because 100011001220001 - 2³ = 100011001219993 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 (100011001220021) 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 23 ways as a sum of consecutive naturals, for example, 3226170 + ... + 14506211.

It is an arithmetic number, because the mean of its divisors is an integer number (6182226526671).

Almost surely, 2^{100011001220001} is an apocalyptic number.

It is an amenable number.

100011001220001 is a deficient number, since it is larger than the sum of its proper divisors (48362435420103).

100011001220001 is a wasteful number, since it uses less digits than its factorization.

100011001220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17749361 (or 17749358 counting only the distinct ones).

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

Adding to 100011001220001 its reverse (100022100110001), we get a palindrome (200033101330002).

The spelling of 100011001220001 in words is "one hundred trillion, eleven billion, one million, two hundred twenty thousand, one".