100303022211312 has 240 divisors, whose sum is σ = 275747232992000. Its totient is φ = 31411383607296.

The previous prime is 100303022211283. The next prime is 100303022211319. The reversal of 100303022211312 is 213112220303001.

It is a super-2 number, since 2×100303022211312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303022211319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28666194939 + ... + 28666198437.

Almost surely, 2^{100303022211312} is an apocalyptic number.

100303022211312 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 100303022211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137873616496000).

100303022211312 is an abundant number, since it is smaller than the sum of its proper divisors (175444210780688).

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

100303022211312 is a wasteful number, since it uses less digits than its factorization.

100303022211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6648 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100303022211312 its reverse (213112220303001), we get a palindrome (313415242514313).

The spelling of 100303022211312 in words is "one hundred trillion, three hundred three billion, twenty-two million, two hundred eleven thousand, three hundred twelve".