820001100011001 has 32 divisors (see below), whose sum is σ = 1096902649358208. Its totient is φ = 544886752419840.

The previous prime is 820001100010999. The next prime is 820001100011011. The reversal of 820001100011001 is 100110001100028.

It is not a de Polignac number, because 820001100011001 - 2¹ = 820001100010999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820001100011011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5343446865 + ... + 5343600321.

It is an arithmetic number, because the mean of its divisors is an integer number (34278207792444).

Almost surely, 2^{820001100011001} is an apocalyptic number.

It is an amenable number.

820001100011001 is a deficient number, since it is larger than the sum of its proper divisors (276901549347207).

820001100011001 is a wasteful number, since it uses less digits than its factorization.

820001100011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158761.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 820001100011001 its reverse (100110001100028), we get a palindrome (920111101111029).

The spelling of 820001100011001 in words is "eight hundred twenty trillion, one billion, one hundred million, eleven thousand, one".