10214420220 has 96 divisors (see below), whose sum is σ = 31842720000. Its totient is φ = 2718315072.

The previous prime is 10214420219. The next prime is 10214420257. The reversal of 10214420220 is 2202441201.

10214420220 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 442 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10214420193 and 10214420202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 250507 + ... + 288413.

It is an arithmetic number, because the mean of its divisors is an integer number (331695000).

Almost surely, 2^10214420220 is an apocalyptic number.

10214420220 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 10214420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360000).

10214420220 is an abundant number, since it is smaller than the sum of its proper divisors (21628299780).

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

10214420220 is a wasteful number, since it uses less digits than its factorization.

10214420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38424 (or 38416 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10214420220 its reverse (2202441201), we get a palindrome (12416861421).

The spelling of 10214420220 in words is "ten billion, two hundred fourteen million, four hundred twenty thousand, two hundred twenty".