101100312 has 40 divisors (see below), whose sum is σ = 283176300. Its totient is φ = 33699888.

The previous prime is 101100299. The next prime is 101100313. The reversal of 101100312 is 213001101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100294 and 101100303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77362 + ... + 78657.

Almost surely, 2^101100312 is an apocalyptic number.

101100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100312 is an abundant number, since it is smaller than the sum of its proper divisors (182075988).

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

101100312 is a wasteful number, since it uses less digits than its factorization.

101100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156037 (or 156024 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101100312 is about 10054.8650910890. The cubic root of 101100312 is about 465.8550759836.

Adding to 101100312 its reverse (213001101), we get a palindrome (314101413).

The spelling of 101100312 in words is "one hundred one million, one hundred thousand, three hundred twelve".