1021120000 has 100 divisors (see below), whose sum is σ = 2550289896. Its totient is φ = 408320000.

The previous prime is 1021119973. The next prime is 1021120013. The reversal of 1021120000 is 211201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 318405 + ... + 321595.

Almost surely, 2^1021120000 is an apocalyptic number.

1021120000 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 1021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275144948).

1021120000 is an abundant number, since it is smaller than the sum of its proper divisors (1529169896).

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

1021120000 is an frugal number, since it uses more digits than its factorization.

1021120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1021120000 is about 31954.9683148020. The cubic root of 1021120000 is about 1006.9910118597.

Adding to 1021120000 its reverse (211201), we get a palindrome (1021331201).

The spelling of 1021120000 in words is "one billion, twenty-one million, one hundred twenty thousand".