11002121111 has 16 divisors (see below), whose sum is σ = 11295396000. Its totient is φ = 10712832000.

The previous prime is 11002121107. The next prime is 11002121131. The reversal of 11002121111 is 11112120011.

It is a cyclic number.

It is not a de Polignac number, because 11002121111 - 2² = 11002121107 is a prime.

It is a super-2 number, since 2×11002121111² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11002121092 and 11002121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002121131) 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, 3523631 + ... + 3526751.

It is an arithmetic number, because the mean of its divisors is an integer number (705962250).

Almost surely, 2^11002121111 is an apocalyptic number.

11002121111 is a deficient number, since it is larger than the sum of its proper divisors (293274889).

11002121111 is a wasteful number, since it uses less digits than its factorization.

11002121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11002121111 its reverse (11112120011), we get a palindrome (22114241122).

The spelling of 11002121111 in words is "eleven billion, two million, one hundred twenty-one thousand, one hundred eleven".