100001337582312 has 192 divisors, whose sum is σ = 284462589649680. Its totient is φ = 31705488654336.

The previous prime is 100001337582281. The next prime is 100001337582359. The reversal of 100001337582312 is 213285733100001.

It is a happy number.

100001337582312 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 1 + 337 + 5 + 8 + 2 + 312 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57236094226116 + 42765243356196 = 7565454^2 + 6539514^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19700028 + ... + 24250644.

Almost surely, 2^{100001337582312} is an apocalyptic number.

100001337582312 is a gapful number since it is divisible by the number (12) 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 100001337582312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142231294824840).

100001337582312 is an abundant number, since it is smaller than the sum of its proper divisors (184461252067368).

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

100001337582312 is a wasteful number, since it uses less digits than its factorization.

100001337582312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550852 (or 4550845 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 100001337582312 in words is "one hundred trillion, one billion, three hundred thirty-seven million, five hundred eighty-two thousand, three hundred twelve".