10111221100211 has 64 divisors (see below), whose sum is σ = 13285085184000. Its totient is φ = 7465897595520.

The previous prime is 10111221100163. The next prime is 10111221100271. The reversal of 10111221100211 is 11200112211101.

It is not a de Polignac number, because 10111221100211 - 2⁶ = 10111221100147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111221100271) 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, 29288360 + ... + 29631578.

It is an arithmetic number, because the mean of its divisors is an integer number (207579456000).

Almost surely, 2^{10111221100211} is an apocalyptic number.

10111221100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111221100211 is a deficient number, since it is larger than the sum of its proper divisors (3173864083789).

10111221100211 is a wasteful number, since it uses less digits than its factorization.

10111221100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343512.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10111221100211 its reverse (11200112211101), we get a palindrome (21311333311312).

The spelling of 10111221100211 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one million, one hundred thousand, two hundred eleven".