101414002213 has 16 divisors (see below), whose sum is σ = 103262112000. Its totient is φ = 99580995072.

The previous prime is 101414002201. The next prime is 101414002229. The reversal of 101414002213 is 312200414101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101414002213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101414002813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20243853 + ... + 20248861.

It is an arithmetic number, because the mean of its divisors is an integer number (6453882000).

Almost surely, 2^101414002213 is an apocalyptic number.

It is an amenable number.

101414002213 is a deficient number, since it is larger than the sum of its proper divisors (1848109787).

101414002213 is a wasteful number, since it uses less digits than its factorization.

101414002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101414002213 its reverse (312200414101), we get a palindrome (413614416314).

The spelling of 101414002213 in words is "one hundred one billion, four hundred fourteen million, two thousand, two hundred thirteen".