100151320000000 has 320 divisors, whose sum is σ = 254378688632640. Its totient is φ = 39380608000000.

The previous prime is 100151319999971. The next prime is 100151320000009. The reversal of 100151320000000 is 23151001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100151320000009) 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, 2359978782 + ... + 2360021218.

It is an arithmetic number, because the mean of its divisors is an integer number (794933401977).

Almost surely, 2^{100151320000000} is an apocalyptic number.

100151320000000 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 100151320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127189344316320).

100151320000000 is an abundant number, since it is smaller than the sum of its proper divisors (154227368632640).

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

100151320000000 is an frugal number, since it uses more digits than its factorization.

100151320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42549 (or 42503 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 100151320000000 its reverse (23151001), we get a palindrome (100151343151001).

The spelling of 100151320000000 in words is "one hundred trillion, one hundred fifty-one billion, three hundred twenty million", and thus it is an aban number.