100442232421340 has 96 divisors (see below), whose sum is σ = 227752822543680. Its totient is φ = 37067039133696.

The previous prime is 100442232421337. The next prime is 100442232421343. The reversal of 100442232421340 is 43124232244001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100442232421337) and next prime (100442232421343).

It is a junction number, because it is equal to n+sod(n) for n = 100442232421297 and 100442232421306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442232421343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17754746 + ... + 22718174.

It is an arithmetic number, because the mean of its divisors is an integer number (2372425234830).

Almost surely, 2^{100442232421340} is an apocalyptic number.

100442232421340 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 100442232421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113876411271840).

100442232421340 is an abundant number, since it is smaller than the sum of its proper divisors (127310590122340).

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

100442232421340 is a wasteful number, since it uses less digits than its factorization.

100442232421340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964631 (or 4964629 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 100442232421340 its reverse (43124232244001), we get a palindrome (143566464665341).

The spelling of 100442232421340 in words is "one hundred trillion, four hundred forty-two billion, two hundred thirty-two million, four hundred twenty-one thousand, three hundred forty".