10211012220 has 96 divisors (see below), whose sum is σ = 28953304128. Its totient is φ = 2688602112.

The previous prime is 10211012191. The next prime is 10211012233. The reversal of 10211012220 is 2221011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10211012196 and 10211012205.

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, 1875342 + ... + 1880778.

It is an arithmetic number, because the mean of its divisors is an integer number (301596918).

Almost surely, 2^10211012220 is an apocalyptic number.

10211012220 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 10211012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476652064).

10211012220 is an abundant number, since it is smaller than the sum of its proper divisors (18742291908).

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

10211012220 is a wasteful number, since it uses less digits than its factorization.

10211012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211012220 its reverse (2221011201), we get a palindrome (12432023421).

The spelling of 10211012220 in words is "ten billion, two hundred eleven million, twelve thousand, two hundred twenty".