2110122102000 has 320 divisors, whose sum is σ = 7812100707840. Its totient is φ = 484621056000.

The previous prime is 2110122101999. The next prime is 2110122102001. The reversal of 2110122102000 is 2012210112.

It is an interprime number because it is at equal distance from previous prime (2110122101999) and next prime (2110122102001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110122102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412644 + ... + 2095356.

It is an arithmetic number, because the mean of its divisors is an integer number (24412814712).

Almost surely, 2^{2110122102000} is an apocalyptic number.

2110122102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906050353920).

2110122102000 is an abundant number, since it is smaller than the sum of its proper divisors (5701978605840).

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

2110122102000 is a wasteful number, since it uses less digits than its factorization.

2110122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682769 (or 1682753 counting only the distinct ones).

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

Adding to 2110122102000 its reverse (2012210112), we get a palindrome (2112134312112).

It can be divided in two parts, 2110122 and 102000, that added together give a palindrome (2212122).

The spelling of 2110122102000 in words is "two trillion, one hundred ten billion, one hundred twenty-two million, one hundred two thousand".