2102100212010 has 64 divisors (see below), whose sum is σ = 5130521690112. Its totient is φ = 551095423296.

The previous prime is 2102100211979. The next prime is 2102100212053. The reversal of 2102100212010 is 102120012012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28554 + ... + 2050613.

It is an arithmetic number, because the mean of its divisors is an integer number (80164401408).

Almost surely, 2^{2102100212010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102100212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565260845056).

2102100212010 is an abundant number, since it is smaller than the sum of its proper divisors (3028421478102).

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

2102100212010 is a wasteful number, since it uses less digits than its factorization.

2102100212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079747.

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

Adding to 2102100212010 its reverse (102120012012), we get a palindrome (2204220224022).

It can be divided in two parts, 21021002 and 12010, that added together give a palindrome (21033012).

The spelling of 2102100212010 in words is "two trillion, one hundred two billion, one hundred million, two hundred twelve thousand, ten".