1100020202100 has 108 divisors (see below), whose sum is σ = 3449462368716. Its totient is φ = 293210242560.

The previous prime is 1100020202081. The next prime is 1100020202129. The reversal of 1100020202100 is 12020200011.

It can be written as a sum of positive squares in 6 ways, for example, as 310868693136 + 789151508964 = 557556^2 + 888342^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1797184 + ... + 2330216.

It is an arithmetic number, because the mean of its divisors is an integer number (31939466377).

Almost surely, 2^{1100020202100} is an apocalyptic number.

1100020202100 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 1100020202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724731184358).

1100020202100 is an abundant number, since it is smaller than the sum of its proper divisors (2349442166616).

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

1100020202100 is a wasteful number, since it uses less digits than its factorization.

1100020202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535346 (or 535336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100020202100 its reverse (12020200011), we get a palindrome (1112040402111).

The spelling of 1100020202100 in words is "one trillion, one hundred billion, twenty million, two hundred two thousand, one hundred".