2102120210010 has 256 divisors, whose sum is σ = 5698332426240. Its totient is φ = 493631677440.

The previous prime is 2102120209999. The next prime is 2102120210023. The reversal of 2102120210010 is 100120212012.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 480702184 + ... + 480706556.

It is an arithmetic number, because the mean of its divisors is an integer number (22259111040).

Almost surely, 2^{2102120210010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102120210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849166213120).

2102120210010 is an abundant number, since it is smaller than the sum of its proper divisors (3596212216230).

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

2102120210010 is a wasteful number, since it uses less digits than its factorization.

2102120210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453.

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

Adding to 2102120210010 its reverse (100120212012), we get a palindrome (2202240422022).

The spelling of 2102120210010 in words is "two trillion, one hundred two billion, one hundred twenty million, two hundred ten thousand, ten".