101214312 has 64 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 32378112.

The previous prime is 101214307. The next prime is 101214313. The reversal of 101214312 is 213412101.

It is a junction number, because it is equal to n+sod(n) for n = 101214291 and 101214300.

It is not an unprimeable number, because it can be changed into a prime (101214313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58938 + ... + 60630.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2^101214312 is an apocalyptic number.

101214312 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 101214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

101214312 is an abundant number, since it is smaller than the sum of its proper divisors (162236568).

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

101214312 is a wasteful number, since it uses less digits than its factorization.

101214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101214312 is about 10060.5323914791. The cubic root of 101214312 is about 466.0301085129.

Adding to 101214312 its reverse (213412101), we get a palindrome (314626413).

The spelling of 101214312 in words is "one hundred one million, two hundred fourteen thousand, three hundred twelve".