10114041042072 has 192 divisors, whose sum is σ = 30207930255360. Its totient is φ = 3031542489600.

The previous prime is 10114041042029. The next prime is 10114041042073. The reversal of 10114041042072 is 27024014041101.

It is a happy number.

10114041042072 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 40 + 410 + 4 + 207 + 2 = 666.

10114041042072 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 not an unprimeable number, because it can be changed into a prime (10114041042073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69838297 + ... + 69982967.

It is an arithmetic number, because the mean of its divisors is an integer number (157332970080).

Almost surely, 2^{10114041042072} is an apocalyptic number.

10114041042072 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 10114041042072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103965127680).

10114041042072 is an abundant number, since it is smaller than the sum of its proper divisors (20093889213288).

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

10114041042072 is a wasteful number, since it uses less digits than its factorization.

10114041042072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145654 (or 145647 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 10114041042072 its reverse (27024014041101), we get a palindrome (37138055083173).

The spelling of 10114041042072 in words is "ten trillion, one hundred fourteen billion, forty-one million, forty-two thousand, seventy-two".