10000088000001 has 48 divisors (see below), whose sum is σ = 16274182998528. Its totient is φ = 5862213676800.

The previous prime is 10000087999997. The next prime is 10000088000011.

It is a happy number.

10000088000001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10000088000001 - 2² = 10000087999997 is a prime.

10000088000001 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000088000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5312965 + ... + 6944621.

It is an arithmetic number, because the mean of its divisors is an integer number (339045479136).

Almost surely, 2^{10000088000001} is an apocalyptic number.

10000088000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000088000001 is a deficient number, since it is larger than the sum of its proper divisors (6274094998527).

10000088000001 is a wasteful number, since it uses less digits than its factorization.

10000088000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633702 (or 1633699 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1000008 and 8000001, that added together give a palindrome (9000009).

The spelling of 10000088000001 in words is "ten trillion, eighty-eight million, one", and thus it is an aban number and an uban number.