3101001100000 has 144 divisors (see below), whose sum is σ = 7662868920000. Its totient is φ = 1235200960000.

The previous prime is 3101001099947. The next prime is 3101001100003. The reversal of 3101001100000 is 11001013.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101001100003) 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, 23835126 + ... + 23964874.

It is an arithmetic number, because the mean of its divisors is an integer number (53214367500).

Almost surely, 2^{3101001100000} 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 3101001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831434460000).

3101001100000 is an abundant number, since it is smaller than the sum of its proper divisors (4561867820000).

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

3101001100000 is an equidigital number, since it uses as much as digits as its factorization.

3101001100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130023 (or 129995 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 3101001100000 its reverse (11001013), we get a palindrome (3101012101013).

The spelling of 3101001100000 in words is "three trillion, one hundred one billion, one million, one hundred thousand".