2102121110322 has 96 divisors (see below), whose sum is σ = 4833009192960. Its totient is φ = 658957511520.

The previous prime is 2102121110291. The next prime is 2102121110359. The reversal of 2102121110322 is 2230111212012.

2102121110322 is a `hidden beast` number, since 21 + 0 + 212 + 1 + 110 + 322 = 666.

It is a super-2 number, since 2×2102121110322² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2102121110295 and 2102121110304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10452843 + ... + 10652049.

It is an arithmetic number, because the mean of its divisors is an integer number (50343845760).

Almost surely, 2^{2102121110322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102121110322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416504596480).

2102121110322 is an abundant number, since it is smaller than the sum of its proper divisors (2730888082638).

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

2102121110322 is a wasteful number, since it uses less digits than its factorization.

2102121110322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199668 (or 199665 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2102121110322 its reverse (2230111212012), we get a palindrome (4332232322334).

The spelling of 2102121110322 in words is "two trillion, one hundred two billion, one hundred twenty-one million, one hundred ten thousand, three hundred twenty-two".