2112101102202 has 192 divisors, whose sum is σ = 5537827263744. Its totient is φ = 524011438080.

The previous prime is 2112101102197. The next prime is 2112101102249. The reversal of 2112101102202 is 2022011012112.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388179802 + ... + 388185242.

It is an arithmetic number, because the mean of its divisors is an integer number (28842850332).

Almost surely, 2^{2112101102202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112101102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768913631872).

2112101102202 is an abundant number, since it is smaller than the sum of its proper divisors (3425726161542).

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

2112101102202 is a wasteful number, since it uses less digits than its factorization.

2112101102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2112101102202 its reverse (2022011012112), we get a palindrome (4134112114314).

The spelling of 2112101102202 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred two thousand, two hundred two".