10010122131024 has 50 divisors (see below), whose sum is σ = 28972197622170. Its totient is φ = 3336707376576.

The previous prime is 10010122131001. The next prime is 10010122131059. The reversal of 10010122131024 is 42013122101001.

10010122131024 is a `hidden beast` number, since 10 + 0 + 101 + 221 + 310 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8239540611600 + 1770581519424 = 2870460^2 + 1330632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10010122130988 and 10010122131006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3861928539 + ... + 3861931130.

Almost surely, 2^{10010122131024} is an apocalyptic number.

It is an amenable number.

10010122131024 is an abundant number, since it is smaller than the sum of its proper divisors (18962075491146).

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

10010122131024 is an equidigital number, since it uses as much as digits as its factorization.

10010122131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7723859689 (or 7723859674 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10010122131024 its reverse (42013122101001), we get a palindrome (52023244232025).

The spelling of 10010122131024 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred thirty-one thousand, twenty-four".