2214111105000 has 200 divisors, whose sum is σ = 7749472289130. Its totient is φ = 590429520000.

The previous prime is 2214111104929. The next prime is 2214111105013. The reversal of 2214111105000 is 5011114122.

2214111105000 is a `hidden beast` number, since 2 + 2 + 141 + 11 + 10 + 500 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 55627109316 + 2158483995684 = 235854^2 + 1469178^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

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 49 ways as a sum of consecutive naturals, for example, 2328471 + ... + 3138470.

Almost surely, 2^{2214111105000} is an apocalyptic number.

2214111105000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214111105000 is an abundant number, since it is smaller than the sum of its proper divisors (5535361184130).

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

2214111105000 is an equidigital number, since it uses as much as digits as its factorization.

2214111105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466979 (or 5466951 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 2214111105000 its reverse (5011114122), we get a palindrome (2219122219122).

The spelling of 2214111105000 in words is "two trillion, two hundred fourteen billion, one hundred eleven million, one hundred five thousand".