2014102100213 has 64 divisors (see below), whose sum is σ = 2439203880960. Its totient is φ = 1625931014400.

The previous prime is 2014102100203. The next prime is 2014102100233. The reversal of 2014102100213 is 3120012014102.

It is not a de Polignac number, because 2014102100213 - 2¹⁶ = 2014102034677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2014102100191 and 2014102100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014102100203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2032393148 + ... + 2032394138.

It is an arithmetic number, because the mean of its divisors is an integer number (38112560640).

Almost surely, 2^{2014102100213} is an apocalyptic number.

2014102100213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2014102100213 is a deficient number, since it is larger than the sum of its proper divisors (425101780747).

2014102100213 is a wasteful number, since it uses less digits than its factorization.

2014102100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2014102100213 its reverse (3120012014102), we get a palindrome (5134114114315).

The spelling of 2014102100213 in words is "two trillion, fourteen billion, one hundred two million, one hundred thousand, two hundred thirteen".