212002101022013 has 32 divisors (see below), whose sum is σ = 230623060377600. Its totient is φ = 194301491155200.

The previous prime is 212002101021983. The next prime is 212002101022091. The reversal of 212002101022013 is 310220101200212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212002101022013 is a prime.

It is a super-2 number, since 2×212002101022013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212002101021982 and 212002101022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002101022213) 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 31 ways as a sum of consecutive naturals, for example, 38418773 + ... + 43589061.

It is an arithmetic number, because the mean of its divisors is an integer number (7206970636800).

Almost surely, 2^{212002101022013} is an apocalyptic number.

212002101022013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212002101022013 is a deficient number, since it is larger than the sum of its proper divisors (18620959355587).

212002101022013 is a wasteful number, since it uses less digits than its factorization.

212002101022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170913.

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

Adding to 212002101022013 its reverse (310220101200212), we get a palindrome (522222202222225).

The spelling of 212002101022013 in words is "two hundred twelve trillion, two billion, one hundred one million, twenty-two thousand, thirteen".