100230000242000 has 320 divisors, whose sum is σ = 246089654254080. Its totient is φ = 39478500864000.

The previous prime is 100230000241991. The next prime is 100230000242003. The reversal of 100230000242000 is 242000032001.

It is a super-2 number, since 2×100230000242000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100230000242003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57570361130 + ... + 57570362870.

It is an arithmetic number, because the mean of its divisors is an integer number (769030169544).

Almost surely, 2^{100230000242000} is an apocalyptic number.

100230000242000 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 100230000242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123044827127040).

100230000242000 is an abundant number, since it is smaller than the sum of its proper divisors (145859654012080).

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

100230000242000 is a wasteful number, since it uses less digits than its factorization.

100230000242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 100230000242000 its reverse (242000032001), we get a palindrome (100472000274001).

The spelling of 100230000242000 in words is "one hundred trillion, two hundred thirty billion, two hundred forty-two thousand".