6110001000100 has 72 divisors (see below), whose sum is σ = 13278858301800. Its totient is φ = 2440286899200.

The previous prime is 6110001000083. The next prime is 6110001000151. The reversal of 6110001000100 is 10001000116.

It can be written as a sum of positive squares in 12 ways, for example, as 166508066916 + 5943492933184 = 408054^2 + 2437928^2 .

It is a super-2 number, since 2×6110001000100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

6110001000100 is a modest number, since divided by 1000100 gives 61100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316751256 + ... + 316770544.

It is an arithmetic number, because the mean of its divisors is an integer number (184428587525).

Almost surely, 2^{6110001000100} is an apocalyptic number.

It is an amenable number.

6110001000100 is an abundant number, since it is smaller than the sum of its proper divisors (7168857301700).

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

6110001000100 is a wasteful number, since it uses less digits than its factorization.

6110001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23953 (or 23946 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 6110001000100 its reverse (10001000116), we get a palindrome (6120002000216).

The spelling of 6110001000100 in words is "six trillion, one hundred ten billion, one million, one hundred", and thus it is an aban number.