10212211012120 has 256 divisors, whose sum is σ = 26098155417600. Its totient is φ = 3568044902400.

The previous prime is 10212211012103. The next prime is 10212211012121. The reversal of 10212211012120 is 2121011221201.

It is a junction number, because it is equal to n+sod(n) for n = 10212211012094 and 10212211012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212211012121) 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, 1863879541 + ... + 1863885019.

It is an arithmetic number, because the mean of its divisors is an integer number (101945919600).

Almost surely, 2^{10212211012120} is an apocalyptic number.

10212211012120 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 10212211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049077708800).

10212211012120 is an abundant number, since it is smaller than the sum of its proper divisors (15885944405480).

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

10212211012120 is a wasteful number, since it uses less digits than its factorization.

10212211012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10212211012120 its reverse (2121011221201), we get a palindrome (12333222233321).

The spelling of 10212211012120 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, twelve thousand, one hundred twenty".