242314210100 has 72 divisors (see below), whose sum is σ = 536060960736. Its totient is φ = 95047920000.

The previous prime is 242314210091. The next prime is 242314210111. The reversal of 242314210100 is 1012413242.

242314210100 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 (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1959095 + ... + 2079105.

Almost surely, 2^242314210100 is an apocalyptic number.

242314210100 is a gapful number since it is divisible by the number (20) 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 242314210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268030480368).

242314210100 is an abundant number, since it is smaller than the sum of its proper divisors (293746750636).

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

242314210100 is a wasteful number, since it uses less digits than its factorization.

242314210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120417 (or 120410 counting only the distinct ones).

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

Adding to 242314210100 its reverse (1012413242), we get a palindrome (243326623342).

The spelling of 242314210100 in words is "two hundred forty-two billion, three hundred fourteen million, two hundred ten thousand, one hundred".