1021979464900 has 81 divisors (see below), whose sum is σ = 2271435310893. Its totient is φ = 399115164000.

The previous prime is 1021979464897. The next prime is 1021979464907. The reversal of 1021979464900 is 94649791201.

The square root of 1021979464900 is 1010930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 367912607364 + 654066857536 = 606558^2 + 808744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021979464907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 434698725 + ... + 434701075.

Almost surely, 2^{1021979464900} is an apocalyptic number.

1021979464900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021979464900 is the 1010930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021979464900

1021979464900 is an abundant number, since it is smaller than the sum of its proper divisors (1249455845993).

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

1021979464900 is an frugal number, since it uses more digits than its factorization.

1021979464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 1021979464900 in words is "one trillion, twenty-one billion, nine hundred seventy-nine million, four hundred sixty-four thousand, nine hundred".