10240214102300 has 432 divisors, whose sum is σ = 28767946400256. Its totient is φ = 3075209280000.

The previous prime is 10240214102213. The next prime is 10240214102309. The reversal of 10240214102300 is 320141204201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240214102309) 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 143 ways as a sum of consecutive naturals, for example, 3591795875 + ... + 3591798725.

Almost surely, 2^{10240214102300} is an apocalyptic number.

10240214102300 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 10240214102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383973200128).

10240214102300 is an abundant number, since it is smaller than the sum of its proper divisors (18527732297956).

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

10240214102300 is a wasteful number, since it uses less digits than its factorization.

10240214102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10240214102300 its reverse (320141204201), we get a palindrome (10560355306501).

The spelling of 10240214102300 in words is "ten trillion, two hundred forty billion, two hundred fourteen million, one hundred two thousand, three hundred".