10211013304420 has 12 divisors (see below), whose sum is σ = 21443127939324. Its totient is φ = 4084405321760.

The previous prime is 10211013304417. The next prime is 10211013304423. The reversal of 10211013304420 is 2440331011201.

It is an interprime number because it is at equal distance from previous prime (10211013304417) and next prime (10211013304423).

It can be written as a sum of positive squares in 2 ways, for example, as 4384660105764 + 5826353198656 = 2093958^2 + 2413784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10211013304391 and 10211013304400.

It is not an unprimeable number, because it can be changed into a prime (10211013304423) 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 3 ways as a sum of consecutive naturals, for example, 255275332591 + ... + 255275332630.

It is an arithmetic number, because the mean of its divisors is an integer number (1786927328277).

Almost surely, 2^{10211013304420} is an apocalyptic number.

10211013304420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211013304420 is an abundant number, since it is smaller than the sum of its proper divisors (11232114634904).

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

10211013304420 is a wasteful number, since it uses less digits than its factorization.

10211013304420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510550665230 (or 510550665228 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10211013304420 its reverse (2440331011201), we get a palindrome (12651344315621).

The spelling of 10211013304420 in words is "ten trillion, two hundred eleven billion, thirteen million, three hundred four thousand, four hundred twenty".