10212021132120 has 768 divisors, whose sum is σ = 35539413811200. Its totient is φ = 2539330560000.

The previous prime is 10212021132043. The next prime is 10212021132163. The reversal of 10212021132120 is 2123112021201.

10212021132120 is a `hidden beast` number, since 10 + 2 + 120 + 211 + 321 + 2 + 0 = 666.

10212021132120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10212021132093 and 10212021132102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6500330935 + ... + 6500332505.

It is an arithmetic number, because the mean of its divisors is an integer number (46275278400).

Almost surely, 2^{10212021132120} is an apocalyptic number.

10212021132120 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 10212021132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769706905600).

10212021132120 is an abundant number, since it is smaller than the sum of its proper divisors (25327392679080).

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

10212021132120 is a wasteful number, since it uses less digits than its factorization.

10212021132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10212021132120 its reverse (2123112021201), we get a palindrome (12335133153321).

The spelling of 10212021132120 in words is "ten trillion, two hundred twelve billion, twenty-one million, one hundred thirty-two thousand, one hundred twenty".