10212102120 has 256 divisors, whose sum is σ = 35821025280. Its totient is φ = 2303769600.

The previous prime is 10212102077. The next prime is 10212102127. The reversal of 10212102120 is 2120121201.

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 = 10212102096 and 10212102105.

It is not an unprimeable number, because it can be changed into a prime (10212102127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1118775 + ... + 1127865.

It is an arithmetic number, because the mean of its divisors is an integer number (139925880).

Almost surely, 2^10212102120 is an apocalyptic number.

10212102120 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 10212102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17910512640).

10212102120 is an abundant number, since it is smaller than the sum of its proper divisors (25608923160).

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

10212102120 is a wasteful number, since it uses less digits than its factorization.

10212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9172 counting only the distinct ones).

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

Adding to 10212102120 its reverse (2120121201), we get a palindrome (12332223321).

The spelling of 10212102120 in words is "ten billion, two hundred twelve million, one hundred two thousand, one hundred twenty".