100312123212 has 216 divisors, whose sum is σ = 299264172480. Its totient is φ = 28245127680.

The previous prime is 100312123133. The next prime is 100312123277. The reversal of 100312123212 is 212321213001.

100312123212 is a `hidden beast` number, since 100 + 31 + 212 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57616662 + ... + 57618402.

It is an arithmetic number, because the mean of its divisors is an integer number (1385482280).

Almost surely, 2^100312123212 is an apocalyptic number.

100312123212 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 100312123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149632086240).

100312123212 is an abundant number, since it is smaller than the sum of its proper divisors (198952049268).

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

100312123212 is a wasteful number, since it uses less digits than its factorization.

100312123212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100312123212 its reverse (212321213001), we get a palindrome (312633336213).

The spelling of 100312123212 in words is "one hundred billion, three hundred twelve million, one hundred twenty-three thousand, two hundred twelve".