101012712 has 16 divisors (see below), whose sum is σ = 252531840. Its totient is φ = 33670896.

The previous prime is 101012707. The next prime is 101012731. The reversal of 101012712 is 217210101.

It is a junction number, because it is equal to n+sod(n) for n = 101012691 and 101012700.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2104408 + ... + 2104455.

It is an arithmetic number, because the mean of its divisors is an integer number (15783240).

Almost surely, 2^101012712 is an apocalyptic number.

101012712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012712 is an abundant number, since it is smaller than the sum of its proper divisors (151519128).

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

101012712 is a wasteful number, since it uses less digits than its factorization.

101012712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208872 (or 4208868 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 101012712 is about 10050.5080468601. The cubic root of 101012712 is about 465.7204878831.

Adding to 101012712 its reverse (217210101), we get a palindrome (318222813).

The spelling of 101012712 in words is "one hundred one million, twelve thousand, seven hundred twelve".