601116600100 has 72 divisors (see below), whose sum is σ = 1311946530048. Its totient is φ = 239061513600.

The previous prime is 601116600083. The next prime is 601116600101. The reversal of 601116600100 is 1006611106.

It is a super-2 number, since 2×601116600100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (601116600101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30938989 + ... + 30958411.

It is an arithmetic number, because the mean of its divisors is an integer number (18221479584).

Almost surely, 2^601116600100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601116600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655973265024).

601116600100 is an abundant number, since it is smaller than the sum of its proper divisors (710829929948).

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

601116600100 is a wasteful number, since it uses less digits than its factorization.

601116600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21205 (or 21198 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

It can be divided in two parts, 601116 and 600100, that added together give a square (1201216 = 1096²).

The spelling of 601116600100 in words is "six hundred one billion, one hundred sixteen million, six hundred thousand, one hundred".