100400242340000 has 240 divisors, whose sum is σ = 247927285222848. Its totient is φ = 40009406976000.

The previous prime is 100400242339997. The next prime is 100400242340119. The reversal of 100400242340000 is 43242004001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22699577789 + ... + 22699582211.

Almost surely, 2^{100400242340000} is an apocalyptic number.

100400242340000 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 100400242340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123963642611424).

100400242340000 is an abundant number, since it is smaller than the sum of its proper divisors (147527042882848).

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

100400242340000 is an equidigital number, since it uses as much as digits as its factorization.

100400242340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 100400242340000 its reverse (43242004001), we get a palindrome (100443484344001).

The spelling of 100400242340000 in words is "one hundred trillion, four hundred billion, two hundred forty-two million, three hundred forty thousand".