10021210220120 has 128 divisors (see below), whose sum is σ = 25331066496000. Its totient is φ = 3536965985280.

The previous prime is 10021210220113. The next prime is 10021210220137. The reversal of 10021210220120 is 2102201212001.

It is a junction number, because it is equal to n+sod(n) for n = 10021210220095 and 10021210220104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392357 + ... + 4494036.

It is an arithmetic number, because the mean of its divisors is an integer number (197898957000).

Almost surely, 2^{10021210220120} is an apocalyptic number.

10021210220120 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 10021210220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665533248000).

10021210220120 is an abundant number, since it is smaller than the sum of its proper divisors (15309856275880).

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

10021210220120 is a wasteful number, since it uses less digits than its factorization.

10021210220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886553 (or 4886549 counting only the distinct ones).

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

Adding to 10021210220120 its reverse (2102201212001), we get a palindrome (12123411432121).

The spelling of 10021210220120 in words is "ten trillion, twenty-one billion, two hundred ten million, two hundred twenty thousand, one hundred twenty".