11121000211211 has 16 divisors (see below), whose sum is σ = 12250737457920. Its totient is φ = 10011067741920.

The previous prime is 11121000211073. The next prime is 11121000211247. The reversal of 11121000211211 is 11211200012111.

It is a cyclic number.

It is not a de Polignac number, because 11121000211211 - 2³⁰ = 11119926469387 is a prime.

It is a super-2 number, since 2×11121000211211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121000211261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14478116 + ... + 15226878.

It is an arithmetic number, because the mean of its divisors is an integer number (765671091120).

Almost surely, 2^{11121000211211} is an apocalyptic number.

11121000211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121000211211 is a deficient number, since it is larger than the sum of its proper divisors (1129737246709).

11121000211211 is a wasteful number, since it uses less digits than its factorization.

11121000211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761986.

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

Adding to 11121000211211 its reverse (11211200012111), we get a palindrome (22332200223322).

The spelling of 11121000211211 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven thousand, two hundred eleven".