6101111016 has 192 divisors, whose sum is σ = 22186120320. Its totient is φ = 1462786560.

The previous prime is 6101110997. The next prime is 6101111057.

6101111016 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6101111016.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29746 + ... + 114398.

It is an arithmetic number, because the mean of its divisors is an integer number (115552710).

Almost surely, 2^6101111016 is an apocalyptic number.

6101111016 is a gapful number since it is divisible by the number (66) 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 6101111016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093060160).

6101111016 is an abundant number, since it is smaller than the sum of its proper divisors (16085009304).

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

6101111016 is a wasteful number, since it uses less digits than its factorization.

6101111016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84696 (or 84689 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 6101111016 is about 78109.6089863469. The cubic root of 6101111016 is about 1827.2710593179.

It can be divided in two parts, 61011 and 11016, that added together give a palindrome (72027).

The spelling of 6101111016 in words is "six billion, one hundred one million, one hundred eleven thousand, sixteen".