2102032122112 has 288 divisors, whose sum is σ = 4712826272000. Its totient is φ = 929405435904.

The previous prime is 2102032122101. The next prime is 2102032122131. The reversal of 2102032122112 is 2112212302012.

It is a self number, because there is not a number n which added to its sum of digits gives 2102032122112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2670942583 + ... + 2670943369.

Almost surely, 2^{2102032122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102032122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356413136000).

2102032122112 is an abundant number, since it is smaller than the sum of its proper divisors (2610794149888).

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

2102032122112 is a wasteful number, since it uses less digits than its factorization.

2102032122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2102032122112 its reverse (2112212302012), we get a palindrome (4214244424124).

The spelling of 2102032122112 in words is "two trillion, one hundred two billion, thirty-two million, one hundred twenty-two thousand, one hundred twelve".