101312420 has 48 divisors (see below), whose sum is σ = 232848000. Its totient is φ = 36721920.

The previous prime is 101312411. The next prime is 101312423. The reversal of 101312420 is 24213101.

It is a junction number, because it is equal to n+sod(n) for n = 101312395 and 101312404.

It is not an unprimeable number, because it can be changed into a prime (101312423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96056 + ... + 97104.

It is an arithmetic number, because the mean of its divisors is an integer number (4851000).

Almost surely, 2^101312420 is an apocalyptic number.

101312420 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 101312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424000).

101312420 is an abundant number, since it is smaller than the sum of its proper divisors (131535580).

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

101312420 is a wasteful number, since it uses less digits than its factorization.

101312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101312420 is about 10065.4070955923. The cubic root of 101312420 is about 466.1806357003.

Adding to 101312420 its reverse (24213101), we get a palindrome (125525521).

The spelling of 101312420 in words is "one hundred one million, three hundred twelve thousand, four hundred twenty".