101217012 has 96 divisors (see below), whose sum is σ = 264929280. Its totient is φ = 29877120.

The previous prime is 101217007. The next prime is 101217013. The reversal of 101217012 is 210712101.

It is a junction number, because it is equal to n+sod(n) for n = 101216982 and 101217000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101217013) 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, 529837 + ... + 530027.

It is an arithmetic number, because the mean of its divisors is an integer number (2759680).

Almost surely, 2^101217012 is an apocalyptic number.

101217012 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 101217012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132464640).

101217012 is an abundant number, since it is smaller than the sum of its proper divisors (163712268).

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

101217012 is a wasteful number, since it uses less digits than its factorization.

101217012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

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

The square root of 101217012 is about 10060.6665783138. Note that the first 3 decimals coincide. The cubic root of 101217012 is about 466.0342524265.

Adding to 101217012 its reverse (210712101), we get a palindrome (311929113).

The spelling of 101217012 in words is "one hundred one million, two hundred seventeen thousand, twelve".