100120012322000 has 320 divisors, whose sum is σ = 285083759900160. Its totient is φ = 33623507456000.

The previous prime is 100120012321997. The next prime is 100120012322039. The reversal of 100120012322000 is 223210021001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11262524 + ... + 18085476.

It is an arithmetic number, because the mean of its divisors is an integer number (890886749688).

Almost surely, 2^{100120012322000} is an apocalyptic number.

100120012322000 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 100120012322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142541879950080).

100120012322000 is an abundant number, since it is smaller than the sum of its proper divisors (184963747578160).

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

100120012322000 is a wasteful number, since it uses less digits than its factorization.

100120012322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823039 (or 6823023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100120012322000 its reverse (223210021001), we get a palindrome (100343222343001).

The spelling of 100120012322000 in words is "one hundred trillion, one hundred twenty billion, twelve million, three hundred twenty-two thousand".