10001102002112 has 224 divisors, whose sum is σ = 22068442690560. Its totient is φ = 4468617584640.

The previous prime is 10001102002069. The next prime is 10001102002121. The reversal of 10001102002112 is 21120020110001.

It is a junction number, because it is equal to n+sod(n) for n = 10001102002093 and 10001102002102.

It is a congruent number.

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, 828517037 + ... + 828529107.

It is an arithmetic number, because the mean of its divisors is an integer number (98519833440).

Almost surely, 2^{10001102002112} 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 10001102002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11034221345280).

10001102002112 is an abundant number, since it is smaller than the sum of its proper divisors (12067340688448).

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

10001102002112 is a wasteful number, since it uses less digits than its factorization.

10001102002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12419 (or 12409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001102002112 its reverse (21120020110001), we get a palindrome (31121122112113).

The spelling of 10001102002112 in words is "ten trillion, one billion, one hundred two million, two thousand, one hundred twelve".