100122113413000 has 96 divisors (see below), whose sum is σ = 272536479460440. Its totient is φ = 34327581724800.

The previous prime is 100122113412973. The next prime is 100122113413033. The reversal of 100122113413000 is 314311221001.

It can be written as a sum of positive squares in 4 ways, for example, as 4135065312196 + 95987048100804 = 2033486^2 + 9797298^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021605219 + ... + 1021703218.

Almost surely, 2^{100122113413000} is an apocalyptic number.

100122113413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122113413000 is an abundant number, since it is smaller than the sum of its proper divisors (172414366047440).

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

100122113413000 is a wasteful number, since it uses less digits than its factorization.

100122113413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043308472 (or 2043308451 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100122113413000 its reverse (314311221001), we get a palindrome (100436424634001).

The spelling of 100122113413000 in words is "one hundred trillion, one hundred twenty-two billion, one hundred thirteen million, four hundred thirteen thousand".