100122312 has 64 divisors (see below), whose sum is σ = 269660160. Its totient is φ = 30888000.

The previous prime is 100122301. The next prime is 100122313. The reversal of 100122312 is 213221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100122313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14187 + ... + 20037.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2^100122312 is an apocalyptic number.

100122312 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 100122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134830080).

100122312 is an abundant number, since it is smaller than the sum of its proper divisors (169537848).

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

100122312 is a wasteful number, since it uses less digits than its factorization.

100122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100122312 is about 10006.1137311146. The cubic root of 100122312 is about 464.3480469301.

Adding to 100122312 its reverse (213221001), we get a palindrome (313343313).

The spelling of 100122312 in words is "one hundred million, one hundred twenty-two thousand, three hundred twelve".