11221100112211 has 24 divisors (see below), whose sum is σ = 13090872944592. Its totient is φ = 9505880832000.

The previous prime is 11221100112133. The next prime is 11221100112283.

11221100112211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11221100112211 - 2⁷ = 11221100112083 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11221100112511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1033590 + ... + 4848763.

It is an arithmetic number, because the mean of its divisors is an integer number (545453039358).

Almost surely, 2^{11221100112211} is an apocalyptic number.

11221100112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221100112211 is a deficient number, since it is larger than the sum of its proper divisors (1869772832381).

11221100112211 is a wasteful number, since it uses less digits than its factorization.

11221100112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882583 (or 5882482 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 11221100 and 112211, that multiplied together give a square (1259130852100 = 1122110²).

The spelling of 11221100112211 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, one hundred twelve thousand, two hundred eleven".