2121113112030 has 480 divisors, whose sum is σ = 6344555817600. Its totient is φ = 508061030400.

The previous prime is 2121113112017. The next prime is 2121113112119. The reversal of 2121113112030 is 302113111212.

2121113112030 is a `hidden beast` number, since 212 + 111 + 311 + 2 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121113111994 and 2121113112012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4921375915 + ... + 4921376345.

It is an arithmetic number, because the mean of its divisors is an integer number (13217824620).

Almost surely, 2^{2121113112030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121113112030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172277908800).

2121113112030 is an abundant number, since it is smaller than the sum of its proper divisors (4223442705570).

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

2121113112030 is a wasteful number, since it uses less digits than its factorization.

2121113112030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2121113112030 its reverse (302113111212), we get a palindrome (2423226223242).

The spelling of 2121113112030 in words is "two trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred twelve thousand, thirty".