2055101100 has 288 divisors, whose sum is σ = 6859560960. Its totient is φ = 470568960.

The previous prime is 2055101099. The next prime is 2055101119. The reversal of 2055101100 is 11015502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2055101100.

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 95 ways as a sum of consecutive naturals, for example, 9215589 + ... + 9215811.

It is an arithmetic number, because the mean of its divisors is an integer number (23817920).

Almost surely, 2^2055101100 is an apocalyptic number.

2055101100 is a gapful number since it is divisible by the number (20) 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 2055101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429780480).

2055101100 is an abundant number, since it is smaller than the sum of its proper divisors (4804459860).

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

2055101100 is a wasteful number, since it uses less digits than its factorization.

2055101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 2055101100 is about 45333.2229165322. Note that the first 3 decimals coincide. The cubic root of 2055101100 is about 1271.3868950094.

Adding to 2055101100 its reverse (11015502), we get a palindrome (2066116602).

The spelling of 2055101100 in words is "two billion, fifty-five million, one hundred one thousand, one hundred".