2102311065000 has 640 divisors, whose sum is σ = 7054461849600. Its totient is φ = 520920960000.

The previous prime is 2102311064969. The next prime is 2102311065031. The reversal of 2102311065000 is 5601132012.

It is an interprime number because it is at equal distance from previous prime (2102311064969) and next prime (2102311065031).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1328054209 + ... + 1328055791.

It is an arithmetic number, because the mean of its divisors is an integer number (11022596640).

Almost surely, 2^{2102311065000} is an apocalyptic number.

2102311065000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102311065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527230924800).

2102311065000 is an abundant number, since it is smaller than the sum of its proper divisors (4952150784600).

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

2102311065000 is a wasteful number, since it uses less digits than its factorization.

2102311065000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 2102311065000 its reverse (5601132012), we get a palindrome (2107912197012).

The spelling of 2102311065000 in words is "two trillion, one hundred two billion, three hundred eleven million, sixty-five thousand".