100320203101312 has 128 divisors (see below), whose sum is σ = 206124506889840. Its totient is φ = 48598856368128.

The previous prime is 100320203101277. The next prime is 100320203101351. The reversal of 100320203101312 is 213101302023001.

It can be written as a sum of positive squares in 8 ways, for example, as 99311110526016 + 1009092575296 = 9965496^2 + 1004536^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100320203101312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100320203101312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114908868 + ... + 1114998844.

Almost surely, 2^{100320203101312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100320203101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103062253444920).

100320203101312 is an abundant number, since it is smaller than the sum of its proper divisors (105804303788528).

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

100320203101312 is an equidigital number, since it uses as much as digits as its factorization.

100320203101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91018 (or 91006 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100320203101312 its reverse (213101302023001), we get a palindrome (313421505124313).

The spelling of 100320203101312 in words is "one hundred trillion, three hundred twenty billion, two hundred three million, one hundred one thousand, three hundred twelve".