2122013131112 has 128 divisors (see below), whose sum is σ = 4770949075200. Its totient is φ = 865792972800.

The previous prime is 2122013131111. The next prime is 2122013131177. The reversal of 2122013131112 is 2111313102212.

It is a super-2 number, since 2×2122013131112² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122013131111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109479662 + ... + 109499042.

It is an arithmetic number, because the mean of its divisors is an integer number (37273039650).

Almost surely, 2^{2122013131112} 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 2122013131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385474537600).

2122013131112 is an abundant number, since it is smaller than the sum of its proper divisors (2648935944088).

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

2122013131112 is a wasteful number, since it uses less digits than its factorization.

2122013131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20587 (or 20583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2122013131112 its reverse (2111313102212), we get a palindrome (4233326233324).

The spelling of 2122013131112 in words is "two trillion, one hundred twenty-two billion, thirteen million, one hundred thirty-one thousand, one hundred twelve".