6811101000 has 1024 divisors, whose sum is σ = 29113344000. Its totient is φ = 1451520000.

The previous prime is 6811100993. The next prime is 6811101001. The reversal of 6811101000 is 1011186.

It is a super-3 number, since 3×6811101000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6811101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 95930965 + ... + 95931035.

It is an arithmetic number, because the mean of its divisors is an integer number (28431000).

Almost surely, 2^6811101000 is an apocalyptic number.

6811101000 is a gapful number since it is divisible by the number (60) 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 6811101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556672000).

6811101000 is an abundant number, since it is smaller than the sum of its proper divisors (22302243000).

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

6811101000 is a wasteful number, since it uses less digits than its factorization.

6811101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 6811101000 is about 82529.3947633205. The cubic root of 6811101000 is about 1895.5668574731.

Adding to 6811101000 its reverse (1011186), we get a palindrome (6812112186).

The spelling of 6811101000 in words is "six billion, eight hundred eleven million, one hundred one thousand".