601101101106 has 144 divisors (see below), whose sum is σ = 1461692797344. Its totient is φ = 177049152000.

The previous prime is 601101101093. The next prime is 601101101239.

601101101106 is nontrivially palindromic in base 10.

601101101106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601101101106² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93524265 + ... + 93530691.

It is an arithmetic number, because the mean of its divisors is an integer number (10150644426).

Almost surely, 2^601101101106 is an apocalyptic number.

601101101106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 601101101106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730846398672).

601101101106 is an abundant number, since it is smaller than the sum of its proper divisors (860591696238).

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

601101101106 is a wasteful number, since it uses less digits than its factorization.

601101101106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6765 counting only the distinct ones).

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

It can be divided in two parts, 601101 and 101106, that added together give a palindrome (702207).

The spelling of 601101101106 in words is "six hundred one billion, one hundred one million, one hundred one thousand, one hundred six".