10321010420 has 192 divisors, whose sum is σ = 27544043520. Its totient is φ = 3167078400.

The previous prime is 10321010411. The next prime is 10321010423. The reversal of 10321010420 is 2401012301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10321010395 and 10321010404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321010423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4351835 + ... + 4354205.

It is an arithmetic number, because the mean of its divisors is an integer number (143458560).

Almost surely, 2^10321010420 is an apocalyptic number.

10321010420 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 10321010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772021760).

10321010420 is an abundant number, since it is smaller than the sum of its proper divisors (17223033100).

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

10321010420 is a wasteful number, since it uses less digits than its factorization.

10321010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2492 counting only the distinct ones).

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

Adding to 10321010420 its reverse (2401012301), we get a palindrome (12722022721).

The spelling of 10321010420 in words is "ten billion, three hundred twenty-one million, ten thousand, four hundred twenty".