10002110101009 has 8 divisors (see below), whose sum is σ = 10772397923112. Its totient is φ = 9231950098560.

The previous prime is 10002110101003. The next prime is 10002110101021. The reversal of 10002110101009 is 90010101120001.

It can be written as a sum of positive squares in 4 ways, for example, as 55529508609 + 9946580592400 = 235647^2 + 3153820^2 .

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 10002110101009 - 2²¹ = 10002108003857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002110100983 and 10002110101001.

It is not an unprimeable number, because it can be changed into a prime (10002110101003) 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 7 ways as a sum of consecutive naturals, for example, 31792354 + ... + 32105419.

It is an arithmetic number, because the mean of its divisors is an integer number (1346549740389).

Almost surely, 2^{10002110101009} is an apocalyptic number.

It is an amenable number.

10002110101009 is a deficient number, since it is larger than the sum of its proper divisors (770287822103).

10002110101009 is a wasteful number, since it uses less digits than its factorization.

10002110101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63909827.

The product of its (nonzero) digits is 18, while the sum is 16.

It can be divided in two parts, 10002 and 110101009, that added together give a palindrome (110111011).

The spelling of 10002110101009 in words is "ten trillion, two billion, one hundred ten million, one hundred one thousand, nine".