1021320100 has 36 divisors (see below), whose sum is σ = 2219990724. Its totient is φ = 407841280.

The previous prime is 1021320089. The next prime is 1021320107. The reversal of 1021320100 is 10231201.

It can be written as a sum of positive squares in 6 ways, for example, as 25160256 + 996159844 = 5016^2 + 31562^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1021320107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53424 + ... + 69976.

It is an arithmetic number, because the mean of its divisors is an integer number (61666409).

Almost surely, 2^1021320100 is an apocalyptic number.

1021320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021320100 is an abundant number, since it is smaller than the sum of its proper divisors (1198670624).

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

1021320100 is a wasteful number, since it uses less digits than its factorization.

1021320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17184 (or 17177 counting only the distinct ones).

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

The square root of 1021320100 is about 31958.0991299545. The cubic root of 1021320100 is about 1007.0567846520.

Adding to 1021320100 its reverse (10231201), we get a palindrome (1031551301).

The spelling of 1021320100 in words is "one billion, twenty-one million, three hundred twenty thousand, one hundred".