2102000310000 has 300 divisors, whose sum is σ = 7422400359088. Its totient is φ = 555088896000.

The previous prime is 2102000309987. The next prime is 2102000310001. The reversal of 2102000310000 is 130002012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×2102000310000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102000310001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9156624 + ... + 9383376.

Almost surely, 2^{2102000310000} is an apocalyptic number.

2102000310000 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 2102000310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711200179544).

2102000310000 is an abundant number, since it is smaller than the sum of its proper divisors (5320400049088).

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

2102000310000 is a wasteful number, since it uses less digits than its factorization.

2102000310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226890 (or 226866 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2102000310000 its reverse (130002012), we get a palindrome (2102130312012).

The spelling of 2102000310000 in words is "two trillion, one hundred two billion, three hundred ten thousand".