100242310000 has 200 divisors, whose sum is σ = 280894085120. Its totient is φ = 33931872000.

The previous prime is 100242309989. The next prime is 100242310009. The reversal of 100242310000 is 13242001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×100242310000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100242310009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5520937 + ... + 5539063.

Almost surely, 2^100242310000 is an apocalyptic number.

100242310000 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 100242310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140447042560).

100242310000 is an abundant number, since it is smaller than the sum of its proper divisors (180651775120).

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

100242310000 is an equidigital number, since it uses as much as digits as its factorization.

100242310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18241 (or 18220 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100242310000 its reverse (13242001), we get a palindrome (100255552001).

The spelling of 100242310000 in words is "one hundred billion, two hundred forty-two million, three hundred ten thousand".