10301121414240 has 192 divisors, whose sum is σ = 34249430154240. Its totient is φ = 2595296747520.

The previous prime is 10301121414229. The next prime is 10301121414263. The reversal of 10301121414240 is 4241412110301.

It is a happy number.

It is a super-2 number, since 2×10301121414240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10301121414240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808200 + ... + 4885880.

It is an arithmetic number, because the mean of its divisors is an integer number (178382448720).

Almost surely, 2^{10301121414240} is an apocalyptic number.

10301121414240 is a gapful number since it is divisible by the number (10) 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 10301121414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124715077120).

10301121414240 is an abundant number, since it is smaller than the sum of its proper divisors (23948308740000).

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

10301121414240 is a wasteful number, since it uses less digits than its factorization.

10301121414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078085 (or 3078077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10301121414240 its reverse (4241412110301), we get a palindrome (14542533524541).

The spelling of 10301121414240 in words is "ten trillion, three hundred one billion, one hundred twenty-one million, four hundred fourteen thousand, two hundred forty".