1100002211121 has 16 divisors (see below), whose sum is σ = 1600042449600. Its totient is φ = 666651659520.

The previous prime is 1100002211081. The next prime is 1100002211131. The reversal of 1100002211121 is 1211122000011.

It is not a de Polignac number, because 1100002211121 - 2²³ = 1099993822513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100002211097 and 1100002211106.

It is not an unprimeable number, because it can be changed into a prime (1100002211131) 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, 1033461 + ... + 1807773.

It is an arithmetic number, because the mean of its divisors is an integer number (100002653100).

Almost surely, 2^{1100002211121} is an apocalyptic number.

1100002211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100002211121 is a deficient number, since it is larger than the sum of its proper divisors (500040238479).

1100002211121 is a wasteful number, since it uses less digits than its factorization.

1100002211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817376.

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

Adding to 1100002211121 its reverse (1211122000011), we get a palindrome (2311124211132).

The spelling of 1100002211121 in words is "one trillion, one hundred billion, two million, two hundred eleven thousand, one hundred twenty-one".