11200102020 has 144 divisors (see below), whose sum is σ = 35743741488. Its totient is φ = 2835025920.

The previous prime is 11200102009. The next prime is 11200102037. The reversal of 11200102020 is 2020100211.

It can be written as a sum of positive squares in 8 ways, for example, as 1806336 + 11198295684 = 1344^2 + 105822^2 .

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 = 11200101993 and 11200102011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252552 + ... + 293568.

It is an arithmetic number, because the mean of its divisors is an integer number (248220427).

Almost surely, 2^11200102020 is an apocalyptic number.

11200102020 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 11200102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17871870744).

11200102020 is an abundant number, since it is smaller than the sum of its proper divisors (24543639468).

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

11200102020 is a wasteful number, since it uses less digits than its factorization.

11200102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41110 (or 41105 counting only the distinct ones).

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

Adding to 11200102020 its reverse (2020100211), we get a palindrome (13220202231).

The spelling of 11200102020 in words is "eleven billion, two hundred million, one hundred two thousand, twenty".