100300122312000 has 1344 divisors, whose sum is σ = 368201839509504. Its totient is φ = 24034035916800.

The previous prime is 100300122311951. The next prime is 100300122312023. The reversal of 100300122312000 is 213221003001.

It is a super-2 number, since 2×100300122312000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64007735217 + ... + 64007736783.

It is an arithmetic number, because the mean of its divisors is an integer number (273959702016).

Almost surely, 2^{100300122312000} is an apocalyptic number.

100300122312000 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 100300122312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184100919754752).

100300122312000 is an abundant number, since it is smaller than the sum of its proper divisors (267901717197504).

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

100300122312000 is a wasteful number, since it uses less digits than its factorization.

100300122312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100300122312000 its reverse (213221003001), we get a palindrome (100513343315001).

The spelling of 100300122312000 in words is "one hundred trillion, three hundred billion, one hundred twenty-two million, three hundred twelve thousand".