10121914470144 has 144 divisors (see below), whose sum is σ = 27107760312864. Its totient is φ = 3352860672000.

The previous prime is 10121914470131. The next prime is 10121914470149. The reversal of 10121914470144 is 44107441912101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121914470149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295073794 + ... + 295108094.

It is an arithmetic number, because the mean of its divisors is an integer number (188248335506).

Almost surely, 2^{10121914470144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121914470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553880156432).

10121914470144 is an abundant number, since it is smaller than the sum of its proper divisors (16985845842720).

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

10121914470144 is a wasteful number, since it uses less digits than its factorization.

10121914470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36714 (or 36700 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 10121914470144 in words is "ten trillion, one hundred twenty-one billion, nine hundred fourteen million, four hundred seventy thousand, one hundred forty-four".