10211220 has 144 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 2472960.

The previous prime is 10211213. The next prime is 10211221. The reversal of 10211220 is 2211201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143785 + ... + 143855.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 2^10211220 is an apocalyptic number.

10211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3195×3196.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

10211220 is an abundant number, since it is smaller than the sum of its proper divisors (23754348).

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

10211220 is a wasteful number, since it uses less digits than its factorization.

10211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10211220 is about 3195.4999608825. The cubic root of 10211220 is about 216.9497784916.

Adding to 10211220 its reverse (2211201), we get a palindrome (12422421).

The spelling of 10211220 in words is "ten million, two hundred eleven thousand, two hundred twenty".