10211002222213 has 16 divisors (see below), whose sum is σ = 11002014789696. Its totient is φ = 9420783926400.

The previous prime is 10211002222199. The next prime is 10211002222247. The reversal of 10211002222213 is 31222220011201.

It is a cyclic number.

It is not a de Polignac number, because 10211002222213 - 2¹⁷ = 10211002091141 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 (10211002225213) 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, 224409681 + ... + 224455177.

It is an arithmetic number, because the mean of its divisors is an integer number (687625924356).

Almost surely, 2^{10211002222213} is an apocalyptic number.

10211002222213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10211002222213 is a deficient number, since it is larger than the sum of its proper divisors (791012567483).

10211002222213 is a wasteful number, since it uses less digits than its factorization.

10211002222213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53844.

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

Adding to 10211002222213 its reverse (31222220011201), we get a palindrome (41433222233414).

The spelling of 10211002222213 in words is "ten trillion, two hundred eleven billion, two million, two hundred twenty-two thousand, two hundred thirteen".