2123100213102 has 96 divisors (see below), whose sum is σ = 5231346591744. Its totient is φ = 639994996800.

The previous prime is 2123100213097. The next prime is 2123100213103. The reversal of 2123100213102 is 2013120013212.

2123100213102 is a `hidden beast` number, since 21 + 2 + 310 + 0 + 21 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123100213103) 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 47 ways as a sum of consecutive naturals, for example, 18543 + ... + 2060714.

It is an arithmetic number, because the mean of its divisors is an integer number (54493193664).

Almost surely, 2^{2123100213102} is an apocalyptic number.

2123100213102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123100213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615673295872).

2123100213102 is an abundant number, since it is smaller than the sum of its proper divisors (3108246378642).

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

2123100213102 is a wasteful number, since it uses less digits than its factorization.

2123100213102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079476 (or 2079464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2123100213102 its reverse (2013120013212), we get a palindrome (4136220226314).

The spelling of 2123100213102 in words is "two trillion, one hundred twenty-three billion, one hundred million, two hundred thirteen thousand, one hundred two".