6101611011001 has 12 divisors (see below), whose sum is σ = 6712843304916. Its totient is φ = 5541862536320.

The previous prime is 6101611010969. The next prime is 6101611011017. The reversal of 6101611011001 is 1001101161016.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 961868601001 + 5139742410000 = 980749^2 + 2267100^2 .

It is not a de Polignac number, because 6101611011001 - 2⁵ = 6101611010969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6101611011001.

It is not an unprimeable number, because it can be changed into a prime (6101611011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22851100 + ... + 23116573.

It is an arithmetic number, because the mean of its divisors is an integer number (559403608743).

Almost surely, 2^{6101611011001} is an apocalyptic number.

It is an amenable number.

6101611011001 is a deficient number, since it is larger than the sum of its proper divisors (611232293915).

6101611011001 is a wasteful number, since it uses less digits than its factorization.

6101611011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45968792 (or 45968781 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 6101611011001 its reverse (1001101161016), we get a palindrome (7102712172017).

The spelling of 6101611011001 in words is "six trillion, one hundred one billion, six hundred eleven million, eleven thousand, one".