1100001122121 has 16 divisors (see below), whose sum is σ = 1622536869888. Its totient is φ = 657277664400.

The previous prime is 1100001122117. The next prime is 1100001122153. The reversal of 1100001122121 is 1212211000011.

It is not a de Polignac number, because 1100001122121 - 2² = 1100001122117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100001122097 and 1100001122106.

It is not an unprimeable number, because it can be changed into a prime (1100001122621) 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, 234739681 + ... + 234744366.

It is an arithmetic number, because the mean of its divisors is an integer number (101408554368).

Almost surely, 2^{1100001122121} is an apocalyptic number.

1100001122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100001122121 is a deficient number, since it is larger than the sum of its proper divisors (522535747767).

1100001122121 is a wasteful number, since it uses less digits than its factorization.

1100001122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469484132.

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

Adding to 1100001122121 its reverse (1212211000011), we get a palindrome (2312212122132).

The spelling of 1100001122121 in words is "one trillion, one hundred billion, one million, one hundred twenty-two thousand, one hundred twenty-one".