100002312312000 has 448 divisors, whose sum is σ = 382695413667840. Its totient is φ = 22535729664000.

The previous prime is 100002312311971. The next prime is 100002312312109. The reversal of 100002312312000 is 213213200001.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 7736086 + ... + 16119914.

It is an arithmetic number, because the mean of its divisors is an integer number (854230834080).

Almost surely, 2^{100002312312000} is an apocalyptic number.

100002312312000 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 100002312312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191347706833920).

100002312312000 is an abundant number, since it is smaller than the sum of its proper divisors (282693101355840).

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

100002312312000 is an equidigital number, since it uses as much as digits as its factorization.

100002312312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383937 (or 8383917 counting only the distinct ones).

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

Adding to 100002312312000 its reverse (213213200001), we get a palindrome (100215525512001).

The spelling of 100002312312000 in words is "one hundred trillion, two billion, three hundred twelve million, three hundred twelve thousand".