2114222110000 has 1350 divisors, whose sum is σ = 7120757156436. Its totient is φ = 605404800000.

The previous prime is 2114222109991. The next prime is 2114222110057. The reversal of 2114222110000 is 112224112.

It is a super-4 number, since 4×2114222110000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 10020009895 + ... + 10020010105.

Almost surely, 2^{2114222110000} is an apocalyptic number.

2114222110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560378578218).

2114222110000 is an abundant number, since it is smaller than the sum of its proper divisors (5006535046436).

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

2114222110000 is a wasteful number, since it uses less digits than its factorization.

2114222110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2114222110000 its reverse (112224112), we get a palindrome (2114334334112).

It can be divided in two parts, 2114222 and 110000, that added together give a palindrome (2224222).

The spelling of 2114222110000 in words is "two trillion, one hundred fourteen billion, two hundred twenty-two million, one hundred ten thousand".