10121480427744 has 576 divisors, whose sum is σ = 36578944120320. Its totient is φ = 2705412648960.

The previous prime is 10121480427673. The next prime is 10121480427749. The reversal of 10121480427744 is 44772408412101.

10121480427744 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 480 + 42 + 77 + 44 = 666.

10121480427744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10121480427744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121480427749) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120149799 + ... + 120234009.

It is an arithmetic number, because the mean of its divisors is an integer number (63505111320).

Almost surely, 2^{10121480427744} is an apocalyptic number.

10121480427744 is a gapful number since it is divisible by the number (14) 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 10121480427744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289472060160).

10121480427744 is an abundant number, since it is smaller than the sum of its proper divisors (26457463692576).

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

10121480427744 is a wasteful number, since it uses less digits than its factorization.

10121480427744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84428 (or 84407 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

Adding to 10121480427744 its reverse (44772408412101), we get a palindrome (54893888839845).

The spelling of 10121480427744 in words is "ten trillion, one hundred twenty-one billion, four hundred eighty million, four hundred twenty-seven thousand, seven hundred forty-four".