1100201002020 has 144 divisors (see below), whose sum is σ = 3478450143168. Its totient is φ = 291897406080.

The previous prime is 1100201002009. The next prime is 1100201002067. The reversal of 1100201002020 is 202001020011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100201001993 and 1100201002011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382855 + ... + 1531985.

It is an arithmetic number, because the mean of its divisors is an integer number (24155903772).

Almost surely, 2^{1100201002020} is an apocalyptic number.

1100201002020 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 1100201002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739225071584).

1100201002020 is an abundant number, since it is smaller than the sum of its proper divisors (2378249141148).

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

1100201002020 is a wasteful number, since it uses less digits than its factorization.

1100201002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149352 (or 1149338 counting only the distinct ones).

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

Adding to 1100201002020 its reverse (202001020011), we get a palindrome (1302202022031).

The spelling of 1100201002020 in words is "one trillion, one hundred billion, two hundred one million, two thousand, twenty".