10221212120 has 256 divisors, whose sum is σ = 27918950400. Its totient is φ = 3294720000.

The previous prime is 10221212117. The next prime is 10221212143. The reversal of 10221212120 is 2121212201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10221212095 and 10221212104.

It is a congruent number.

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, 78024455 + ... + 78024585.

It is an arithmetic number, because the mean of its divisors is an integer number (109058400).

Almost surely, 2^10221212120 is an apocalyptic number.

10221212120 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 10221212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13959475200).

10221212120 is an abundant number, since it is smaller than the sum of its proper divisors (17697738280).

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

10221212120 is a wasteful number, since it uses less digits than its factorization.

10221212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221212120 its reverse (2121212201), we get a palindrome (12342424321).

The spelling of 10221212120 in words is "ten billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty".