10420211220 has 48 divisors (see below), whose sum is σ = 29183521920. Its totient is φ = 2778062976.

The previous prime is 10420211209. The next prime is 10420211237. The reversal of 10420211220 is 2211202401.

10420211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10420211220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267294 + ... + 303786.

It is an arithmetic number, because the mean of its divisors is an integer number (607990040).

Almost surely, 2^10420211220 is an apocalyptic number.

10420211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420211220 is an abundant number, since it is smaller than the sum of its proper divisors (18763310700).

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

10420211220 is a wasteful number, since it uses less digits than its factorization.

10420211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41264 (or 41262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10420211220 its reverse (2211202401), we get a palindrome (12631413621).

The spelling of 10420211220 in words is "ten billion, four hundred twenty million, two hundred eleven thousand, two hundred twenty".