10212002220 has 192 divisors, whose sum is σ = 33685456896. Its totient is φ = 2262712320.

The previous prime is 10212002209. The next prime is 10212002239. The reversal of 10212002220 is 2220021201.

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 = 10212002196 and 10212002205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4831884 + ... + 4833996.

It is an arithmetic number, because the mean of its divisors is an integer number (175445088).

Almost surely, 2^10212002220 is an apocalyptic number.

10212002220 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 10212002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842728448).

10212002220 is an abundant number, since it is smaller than the sum of its proper divisors (23473454676).

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

10212002220 is a wasteful number, since it uses less digits than its factorization.

10212002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10212002220 its reverse (2220021201), we get a palindrome (12432023421).

The spelling of 10212002220 in words is "ten billion, two hundred twelve million, two thousand, two hundred twenty".