10102212120 has 512 divisors, whose sum is σ = 41809582080. Its totient is φ = 1884487680.

The previous prime is 10102212103. The next prime is 10102212143. The reversal of 10102212120 is 2121220101.

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 = 10102212096 and 10102212105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4443304 + ... + 4445576.

It is an arithmetic number, because the mean of its divisors is an integer number (81659340).

Almost surely, 2^10102212120 is an apocalyptic number.

10102212120 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 10102212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20904791040).

10102212120 is an abundant number, since it is smaller than the sum of its proper divisors (31707369960).

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

10102212120 is a wasteful number, since it uses less digits than its factorization.

10102212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2351 counting only the distinct ones).

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

Adding to 10102212120 its reverse (2121220101), we get a palindrome (12223432221).

It can be divided in two parts, 10102 and 212120, that added together give a palindrome (222222).

The spelling of 10102212120 in words is "ten billion, one hundred two million, two hundred twelve thousand, one hundred twenty".