10010122131006 has 24 divisors (see below), whose sum is σ = 21688829280144. Its totient is φ = 3336671787840.

The previous prime is 10010122131001. The next prime is 10010122131059. The reversal of 10010122131006 is 60013122101001.

It is a super-2 number, since 2×10010122131006² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10010122131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010122131001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1202955 + ... + 4633286.

It is an arithmetic number, because the mean of its divisors is an integer number (903701220006).

Almost surely, 2^{10010122131006} is an apocalyptic number.

10010122131006 is an abundant number, since it is smaller than the sum of its proper divisors (11678707149138).

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

10010122131006 is a wasteful number, since it uses less digits than its factorization.

10010122131006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931536 (or 5931533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10010122131006 its reverse (60013122101001), we get a palindrome (70023244232007).

The spelling of 10010122131006 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred thirty-one thousand, six".