2131110222120 has 192 divisors, whose sum is σ = 7731470260800. Its totient is φ = 504618024960.

The previous prime is 2131110222113. The next prime is 2131110222133. The reversal of 2131110222120 is 212220111312.

2131110222120 is a `hidden beast` number, since 2 + 1 + 311 + 10 + 222 + 120 = 666.

It is a super-3 number, since 3×2131110222120³ (a number of 38 digits) contains 333 as substring.

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 = 2131110222093 and 2131110222102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6087385 + ... + 6427944.

It is an arithmetic number, because the mean of its divisors is an integer number (40268074275).

Almost surely, 2^{2131110222120} is an apocalyptic number.

2131110222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131110222120 is an abundant number, since it is smaller than the sum of its proper divisors (5600360038680).

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

2131110222120 is a wasteful number, since it uses less digits than its factorization.

2131110222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515400 (or 12515393 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2131110222120 its reverse (212220111312), we get a palindrome (2343330333432).

The spelling of 2131110222120 in words is "two trillion, one hundred thirty-one billion, one hundred ten million, two hundred twenty-two thousand, one hundred twenty".