100142441232340 has 36 divisors (see below), whose sum is σ = 227720356017084. Its totient is φ = 36975670607616.

The previous prime is 100142441232331. The next prime is 100142441232359. The reversal of 100142441232340 is 43232144241001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7996034331076 + 92146406901264 = 2827726^2 + 9599292^2 .

It is a super-3 number, since 3×100142441232340³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14813967217 + ... + 14813973976.

It is an arithmetic number, because the mean of its divisors is an integer number (6325565444919).

Almost surely, 2^{100142441232340} is an apocalyptic number.

100142441232340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100142441232340 is an abundant number, since it is smaller than the sum of its proper divisors (127577914784744).

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

100142441232340 is a wasteful number, since it uses less digits than its factorization.

100142441232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29627941228 (or 29627941213 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 100142441232340 its reverse (43232144241001), we get a palindrome (143374585473341).

The spelling of 100142441232340 in words is "one hundred trillion, one hundred forty-two billion, four hundred forty-one million, two hundred thirty-two thousand, three hundred forty".