100331312000100 has 144 divisors (see below), whose sum is σ = 290699322135936. Its totient is φ = 26717478912000.

The previous prime is 100331312000089. The next prime is 100331312000119. The reversal of 100331312000100 is 1000213133001.

It is a super-2 number, since 2×100331312000100² (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 self number, because there is not a number n which added to its sum of digits gives 100331312000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1836499785 + ... + 1836554415.

Almost surely, 2^{100331312000100} is an apocalyptic number.

100331312000100 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 100331312000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145349661067968).

100331312000100 is an abundant number, since it is smaller than the sum of its proper divisors (190368010135836).

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

100331312000100 is a wasteful number, since it uses less digits than its factorization.

100331312000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63126 (or 63119 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100331312000100 its reverse (1000213133001), we get a palindrome (101331525133101).

The spelling of 100331312000100 in words is "one hundred trillion, three hundred thirty-one billion, three hundred twelve million, one hundred", and thus it is an aban number.