10006101009996 has 72 divisors (see below), whose sum is σ = 28893356803584. Its totient is φ = 2638971691200.

The previous prime is 10006101009991. The next prime is 10006101010019. The reversal of 10006101009996 is 69990010160001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10006101009991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352412580 + ... + 352440971.

It is an arithmetic number, because the mean of its divisors is an integer number (401296622272).

Almost surely, 2^{10006101009996} is an apocalyptic number.

It is an amenable number.

10006101009996 is an abundant number, since it is smaller than the sum of its proper divisors (18887255793588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10006101009996 is a wasteful number, since it uses less digits than its factorization.

10006101009996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704853591 (or 704853576 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 42.

Adding to 10006101009996 its reverse (69990010160001), we get a palindrome (79996111169997).

The spelling of 10006101009996 in words is "ten trillion, six billion, one hundred one million, nine thousand, nine hundred ninety-six".