2102100210210 has 288 divisors, whose sum is σ = 6946961063616. Its totient is φ = 403199596800.

The previous prime is 2102100210187. The next prime is 2102100210253. The reversal of 2102100210210 is 120120012012.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1857765 + ... + 2766855.

It is an arithmetic number, because the mean of its divisors is an integer number (24121392582).

Almost surely, 2^{2102100210210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102100210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473480531808).

2102100210210 is an abundant number, since it is smaller than the sum of its proper divisors (4844860853406).

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

2102100210210 is a wasteful number, since it uses less digits than its factorization.

2102100210210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909150 (or 909132 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102100210210 its reverse (120120012012), we get a palindrome (2222220222222).

The spelling of 2102100210210 in words is "two trillion, one hundred two billion, one hundred million, two hundred ten thousand, two hundred ten".