100303012102112 has 288 divisors, whose sum is σ = 214625129042016. Its totient is φ = 46090370027520.

The previous prime is 100303012102087. The next prime is 100303012102133. The reversal of 100303012102112 is 211201210303001.

It is a super-2 number, since 2×100303012102112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 11880016163 + ... + 11880024605.

It is an arithmetic number, because the mean of its divisors is an integer number (745226142507).

Almost surely, 2^{100303012102112} 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 100303012102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107312564521008).

100303012102112 is an abundant number, since it is smaller than the sum of its proper divisors (114322116939904).

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

100303012102112 is a wasteful number, since it uses less digits than its factorization.

100303012102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8802 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100303012102112 its reverse (211201210303001), we get a palindrome (311504222405113).

The spelling of 100303012102112 in words is "one hundred trillion, three hundred three billion, twelve million, one hundred two thousand, one hundred twelve".