2102002210000 has 400 divisors, whose sum is σ = 6353000489088. Its totient is φ = 654336000000.

The previous prime is 2102002209977. The next prime is 2102002210057. The reversal of 2102002210000 is 122002012.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 924768864 + ... + 924771136.

Almost surely, 2^{2102002210000} is an apocalyptic number.

2102002210000 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 2102002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176500244544).

2102002210000 is an abundant number, since it is smaller than the sum of its proper divisors (4250998279088).

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

2102002210000 is a wasteful number, since it uses less digits than its factorization.

2102002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2102002210000 its reverse (122002012), we get a palindrome (2102124212012).

The spelling of 2102002210000 in words is "two trillion, one hundred two billion, two million, two hundred ten thousand".