101126712 has 128 divisors (see below), whose sum is σ = 278784000. Its totient is φ = 30481920.

The previous prime is 101126647. The next prime is 101126713. The reversal of 101126712 is 217621101.

It is a happy number.

It is a super-2 number, since 2×101126712² = 20453223759861888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101126713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927714 + ... + 927822.

It is an arithmetic number, because the mean of its divisors is an integer number (2178000).

Almost surely, 2^101126712 is an apocalyptic number.

101126712 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 101126712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139392000).

101126712 is an abundant number, since it is smaller than the sum of its proper divisors (177657288).

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

101126712 is a wasteful number, since it uses less digits than its factorization.

101126712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 101126712 is about 10056.1778027241. The cubic root of 101126712 is about 465.8956215349.

Adding to 101126712 its reverse (217621101), we get a palindrome (318747813).

The spelling of 101126712 in words is "one hundred one million, one hundred twenty-six thousand, seven hundred twelve".