242101340100 has 288 divisors, whose sum is σ = 826990819200. Its totient is φ = 60759360000.

The previous prime is 242101340099. The next prime is 242101340149. The reversal of 242101340100 is 1043101242.

242101340100 is a `hidden beast` number, since 242 + 10 + 13 + 401 + 0 + 0 = 666.

It is a super-2 number, since 2×242101340100² (a number of 24 digits) contains 22 as substring.

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

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, 13255975 + ... + 13274225.

It is an arithmetic number, because the mean of its divisors is an integer number (2871495900).

Almost surely, 2^242101340100 is an apocalyptic number.

242101340100 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 242101340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413495409600).

242101340100 is an abundant number, since it is smaller than the sum of its proper divisors (584889479100).

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

242101340100 is a wasteful number, since it uses less digits than its factorization.

242101340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18325 (or 18278 counting only the distinct ones).

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

Adding to 242101340100 its reverse (1043101242), we get a palindrome (243144441342).

The spelling of 242101340100 in words is "two hundred forty-two billion, one hundred one million, three hundred forty thousand, one hundred".