1021000302100 has 72 divisors (see below), whose sum is σ = 2346603792120. Its totient is φ = 384260997120.

The previous prime is 1021000302089. The next prime is 1021000302121. The reversal of 1021000302100 is 12030001201.

It can be written as a sum of positive squares in 12 ways, for example, as 4589520516 + 1016410781584 = 67746^2 + 1008172^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5672692 + ... + 5849908.

It is an arithmetic number, because the mean of its divisors is an integer number (32591719335).

Almost surely, 2^{1021000302100} is an apocalyptic number.

1021000302100 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 1021000302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173301896060).

1021000302100 is an abundant number, since it is smaller than the sum of its proper divisors (1325603490020).

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

1021000302100 is a wasteful number, since it uses less digits than its factorization.

1021000302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180637 (or 180630 counting only the distinct ones).

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

Adding to 1021000302100 its reverse (12030001201), we get a palindrome (1033030303301).

The spelling of 1021000302100 in words is "one trillion, twenty-one billion, three hundred two thousand, one hundred".