10501011006006 has 8 divisors (see below), whose sum is σ = 21002022012024. Its totient is φ = 3500337002000.

The previous prime is 10501011005921. The next prime is 10501011006007. The reversal of 10501011006006 is 60060011010501.

10501011006006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

10501011006006 is an admirable number.

It is a super-2 number, since 2×10501011006006² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501011006007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 875084250495 + ... + 875084250506.

It is an arithmetic number, because the mean of its divisors is an integer number (2625252751503).

Almost surely, 2^{10501011006006} is an apocalyptic number.

10501011006006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10501011006006 is a wasteful number, since it uses less digits than its factorization.

10501011006006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750168501006.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10501011006006 its reverse (60060011010501), we get a palindrome (70561022016507).

The spelling of 10501011006006 in words is "ten trillion, five hundred one billion, eleven million, six thousand, six".