10242114300 has 216 divisors, whose sum is σ = 35969645712. Its totient is φ = 2415744000.

The previous prime is 10242114283. The next prime is 10242114367. The reversal of 10242114300 is 341124201.

10242114300 is a `hidden beast` number, since 1 + 0 + 24 + 211 + 430 + 0 = 666.

10242114300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352320 + ... + 380280.

Almost surely, 2^10242114300 is an apocalyptic number.

10242114300 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 10242114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984822856).

10242114300 is an abundant number, since it is smaller than the sum of its proper divisors (25727531412).

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

10242114300 is a wasteful number, since it uses less digits than its factorization.

10242114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28029 (or 28019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10242114300 its reverse (341124201), we get a palindrome (10583238501).

Subtracting from 10242114300 its reverse (341124201), we obtain a palindrome (9900990099).

The spelling of 10242114300 in words is "ten billion, two hundred forty-two million, one hundred fourteen thousand, three hundred".