6001100102200 has 192 divisors, whose sum is σ = 17060200934400. Its totient is φ = 1917274406400.

The previous prime is 6001100102141. The next prime is 6001100102213. The reversal of 6001100102200 is 22010011006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226624 + ... + 3471823.

It is an arithmetic number, because the mean of its divisors is an integer number (88855213200).

Almost surely, 2^{6001100102200} 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 6001100102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530100467200).

6001100102200 is an abundant number, since it is smaller than the sum of its proper divisors (11059100832200).

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

6001100102200 is a wasteful number, since it uses less digits than its factorization.

6001100102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698550 (or 3698541 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 6001100102200 its reverse (22010011006), we get a palindrome (6023110113206).

The spelling of 6001100102200 in words is "six trillion, one billion, one hundred million, one hundred two thousand, two hundred".