2114231214100 has 72 divisors (see below), whose sum is σ = 4715488423800. Its totient is φ = 822482073600.

The previous prime is 2114231214079. The next prime is 2114231214101. The reversal of 2114231214100 is 14121324112.

It can be written as a sum of positive squares in 12 ways, for example, as 734047978756 + 1380183235344 = 856766^2 + 1174812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114231214101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404265 + ... + 2490064.

It is an arithmetic number, because the mean of its divisors is an integer number (65492894775).

Almost surely, 2^{2114231214100} is an apocalyptic number.

2114231214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114231214100 is an abundant number, since it is smaller than the sum of its proper divisors (2601257209700).

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

2114231214100 is a wasteful number, since it uses less digits than its factorization.

2114231214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894493 (or 3894486 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 2114231214100 its reverse (14121324112), we get a palindrome (2128352538212).

The spelling of 2114231214100 in words is "two trillion, one hundred fourteen billion, two hundred thirty-one million, two hundred fourteen thousand, one hundred".