10114201240 has 384 divisors, whose sum is σ = 29199139200. Its totient is φ = 3122380800.

The previous prime is 10114201219. The next prime is 10114201261. The reversal of 10114201240 is 4210241101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10114201219) and next prime (10114201261).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41967520 + ... + 41967760.

It is an arithmetic number, because the mean of its divisors is an integer number (76039425).

Almost surely, 2^10114201240 is an apocalyptic number.

10114201240 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 10114201240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599569600).

10114201240 is an abundant number, since it is smaller than the sum of its proper divisors (19084937960).

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

10114201240 is a wasteful number, since it uses less digits than its factorization.

10114201240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10114201240 its reverse (4210241101), we get a palindrome (14324442341).

The spelling of 10114201240 in words is "ten billion, one hundred fourteen million, two hundred one thousand, two hundred forty".