2102122112112 has 240 divisors, whose sum is σ = 6463600716768. Its totient is φ = 632471224320.

The previous prime is 2102122112071. The next prime is 2102122112131. The reversal of 2102122112112 is 2112112212012.

2102122112112 is a `hidden beast` number, since 210 + 21 + 221 + 1 + 211 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465790368 + ... + 465794880.

Almost surely, 2^{2102122112112} is an apocalyptic number.

2102122112112 is a gapful number since it is divisible by the number (22) 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 2102122112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231800358384).

2102122112112 is an abundant number, since it is smaller than the sum of its proper divisors (4361478604656).

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

2102122112112 is a wasteful number, since it uses less digits than its factorization.

2102122112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2102122112112 its reverse (2112112212012), we get a palindrome (4214234324124).

The spelling of 2102122112112 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".