2102021310102 has 128 divisors (see below), whose sum is σ = 5134848491520. Its totient is φ = 560587547520.

The previous prime is 2102021310097. The next prime is 2102021310107. The reversal of 2102021310102 is 2010131202012.

It is an interprime number because it is at equal distance from previous prime (2102021310097) and next prime (2102021310107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102021310107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46042827 + ... + 46088457.

It is an arithmetic number, because the mean of its divisors is an integer number (40116003840).

Almost surely, 2^{2102021310102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102021310102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567424245760).

2102021310102 is an abundant number, since it is smaller than the sum of its proper divisors (3032827181418).

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

2102021310102 is a wasteful number, since it uses less digits than its factorization.

2102021310102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46818.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2102021310102 its reverse (2010131202012), we get a palindrome (4112152512114).

The spelling of 2102021310102 in words is "two trillion, one hundred two billion, twenty-one million, three hundred ten thousand, one hundred two".