1020121300 has 144 divisors (see below), whose sum is σ = 2565085824. Its totient is φ = 348480000.

The previous prime is 1020121273. The next prime is 1020121301. The reversal of 1020121300 is 31210201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020121301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1542970 + ... + 1543630.

It is an arithmetic number, because the mean of its divisors is an integer number (17813096).

Almost surely, 2^1020121300 is an apocalyptic number.

1020121300 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 1020121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282542912).

1020121300 is an abundant number, since it is smaller than the sum of its proper divisors (1544964524).

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

1020121300 is a wasteful number, since it uses less digits than its factorization.

1020121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1020121300 is about 31939.3378140499. The cubic root of 1020121300 is about 1006.6626110290.

Adding to 1020121300 its reverse (31210201), we get a palindrome (1051331501).

The spelling of 1020121300 in words is "one billion, twenty million, one hundred twenty-one thousand, three hundred".