1001100210001 has 8 divisors (see below), whose sum is σ = 1045393881984. Its totient is φ = 956870502720.

The previous prime is 1001100209983. The next prime is 1001100210023. The reversal of 1001100210001 is 1000120011001.

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 1001100210001 - 2⁵ = 1001100209969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001100210401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15959181 + ... + 16021786.

It is an arithmetic number, because the mean of its divisors is an integer number (130674235248).

Almost surely, 2^{1001100210001} is an apocalyptic number.

It is an amenable number.

1001100210001 is a deficient number, since it is larger than the sum of its proper divisors (44293671983).

1001100210001 is a wasteful number, since it uses less digits than its factorization.

1001100210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31982351.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001100210001 its reverse (1000120011001), we get a palindrome (2001220221002).

The spelling of 1001100210001 in words is "one trillion, one billion, one hundred million, two hundred ten thousand, one".