1020210220120 has 128 divisors (see below), whose sum is σ = 2832899328000. Its totient is φ = 321999515136.

The previous prime is 1020210220111. The next prime is 1020210220123. The reversal of 1020210220120 is 210220120201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1020210220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020210220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954031 + ... + 1717729.

It is an arithmetic number, because the mean of its divisors is an integer number (22132026000).

Almost surely, 2^{1020210220120} is an apocalyptic number.

1020210220120 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 1020210220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416449664000).

1020210220120 is an abundant number, since it is smaller than the sum of its proper divisors (1812689107880).

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

1020210220120 is a wasteful number, since it uses less digits than its factorization.

1020210220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764097 (or 764093 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020210220120 its reverse (210220120201), we get a palindrome (1230430340321).

The spelling of 1020210220120 in words is "one trillion, twenty billion, two hundred ten million, two hundred twenty thousand, one hundred twenty".