2121112220010 has 192 divisors, whose sum is σ = 6132584545920. Its totient is φ = 467604318720.

The previous prime is 2121112219987. The next prime is 2121112220011. The reversal of 2121112220010 is 100222111212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2121112220011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40344340 + ... + 40396880.

It is an arithmetic number, because the mean of its divisors is an integer number (31940544510).

Almost surely, 2^{2121112220010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121112220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066292272960).

2121112220010 is an abundant number, since it is smaller than the sum of its proper divisors (4011472325910).

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

2121112220010 is a wasteful number, since it uses less digits than its factorization.

2121112220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53541 (or 53534 counting only the distinct ones).

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

Adding to 2121112220010 its reverse (100222111212), we get a palindrome (2221334331222).

The spelling of 2121112220010 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand, ten".