101214120 has 128 divisors (see below), whose sum is σ = 350749440. Its totient is φ = 22886400.

The previous prime is 101214119. The next prime is 101214133. The reversal of 101214120 is 21412101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101214096 and 101214105.

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 31 ways as a sum of consecutive naturals, for example, 84244 + ... + 85436.

It is an arithmetic number, because the mean of its divisors is an integer number (2740230).

Almost surely, 2^101214120 is an apocalyptic number.

101214120 is a gapful number since it is divisible by the number (10) 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 101214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175374720).

101214120 is an abundant number, since it is smaller than the sum of its proper divisors (249535320).

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

101214120 is a wasteful number, since it uses less digits than its factorization.

101214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101214120 is about 10060.5228492360. The cubic root of 101214120 is about 466.0298138317.

Adding to 101214120 its reverse (21412101), we get a palindrome (122626221).

It can be divided in two parts, 10121 and 4120, that added together give a palindrome (14241).

The spelling of 101214120 in words is "one hundred one million, two hundred fourteen thousand, one hundred twenty".