100300122312 has 192 divisors, whose sum is σ = 278771834880. Its totient is φ = 30042544896.

The previous prime is 100300122311. The next prime is 100300122337. The reversal of 100300122312 is 213221003001.

It is a super-2 number, since 2×100300122312² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100300122291 and 100300122300.

It is not an unprimeable number, because it can be changed into a prime (100300122311) 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, 64006953 + ... + 64008519.

It is an arithmetic number, because the mean of its divisors is an integer number (1451936640).

Almost surely, 2^100300122312 is an apocalyptic number.

100300122312 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 100300122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139385917440).

100300122312 is an abundant number, since it is smaller than the sum of its proper divisors (178471712568).

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

100300122312 is a wasteful number, since it uses less digits than its factorization.

100300122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100300122312 its reverse (213221003001), we get a palindrome (313521125313).

The spelling of 100300122312 in words is "one hundred billion, three hundred million, one hundred twenty-two thousand, three hundred twelve".