10000210112211 has 16 divisors (see below), whose sum is σ = 14565443230080. Its totient is φ = 6052532123520.

The previous prime is 10000210112201. The next prime is 10000210112213. The reversal of 10000210112211 is 11221101200001.

It is not a de Polignac number, because 10000210112211 - 2⁷ = 10000210112083 is a prime.

It is a super-2 number, since 2×10000210112211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000210112213) 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, 205007190 + ... + 205055963.

It is an arithmetic number, because the mean of its divisors is an integer number (910340201880).

Almost surely, 2^{10000210112211} is an apocalyptic number.

10000210112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000210112211 is a deficient number, since it is larger than the sum of its proper divisors (4565233117869).

10000210112211 is a wasteful number, since it uses less digits than its factorization.

10000210112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410063906.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10000210112211 its reverse (11221101200001), we get a palindrome (21221311312212).

The spelling of 10000210112211 in words is "ten trillion, two hundred ten million, one hundred twelve thousand, two hundred eleven".