2011102210212 has 96 divisors (see below), whose sum is σ = 5021361945600. Its totient is φ = 624569616000.

The previous prime is 2011102210207. The next prime is 2011102210277. The reversal of 2011102210212 is 2120122011102.

It is a junction number, because it is equal to n+sod(n) for n = 2011102210191 and 2011102210200.

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, 157863339 + ... + 157876077.

It is an arithmetic number, because the mean of its divisors is an integer number (52305853600).

Almost surely, 2^{2011102210212} 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 2011102210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510680972800).

2011102210212 is an abundant number, since it is smaller than the sum of its proper divisors (3010259735388).

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

2011102210212 is a wasteful number, since it uses less digits than its factorization.

2011102210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24177 (or 24175 counting only the distinct ones).

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

Adding to 2011102210212 its reverse (2120122011102), we get a palindrome (4131224221314).

The spelling of 2011102210212 in words is "two trillion, eleven billion, one hundred two million, two hundred ten thousand, two hundred twelve".