10100024331672 has 256 divisors, whose sum is σ = 28575965790720. Its totient is φ = 2948510822400.

The previous prime is 10100024331667. The next prime is 10100024331707. The reversal of 10100024331672 is 27613342000101.

It is a happy number.

10100024331672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293409022 + ... + 293443442.

It is an arithmetic number, because the mean of its divisors is an integer number (111624866370).

Almost surely, 2^{10100024331672} is an apocalyptic number.

10100024331672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100024331672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287982895360).

10100024331672 is an abundant number, since it is smaller than the sum of its proper divisors (18475941459048).

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

10100024331672 is a wasteful number, since it uses less digits than its factorization.

10100024331672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34874 (or 34870 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 10100024331672 its reverse (27613342000101), we get a palindrome (37713366331773).

The spelling of 10100024331672 in words is "ten trillion, one hundred billion, twenty-four million, three hundred thirty-one thousand, six hundred seventy-two".