2014214124102 has 32 divisors (see below), whose sum is σ = 4055644166400. Its totient is φ = 666869121120.

The previous prime is 2014214124031. The next prime is 2014214124103.

It is a happy number.

2014214124102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014214124103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30902527 + ... + 30967637.

It is an arithmetic number, because the mean of its divisors is an integer number (126738880200).

Almost surely, 2^{2014214124102} is an apocalyptic number.

2014214124102 is an abundant number, since it is smaller than the sum of its proper divisors (2041430042298).

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

2014214124102 is a wasteful number, since it uses less digits than its factorization.

2014214124102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99868.

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 2014214124102 in words is "two trillion, fourteen billion, two hundred fourteen million, one hundred twenty-four thousand, one hundred two".