1100122210011 has 48 divisors (see below), whose sum is σ = 1658828570112. Its totient is φ = 647564005440.

The previous prime is 1100122210003. The next prime is 1100122210021.

1100122210011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1100122210011 - 2³ = 1100122210003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100122210021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7488910 + ... + 7634396.

It is an arithmetic number, because the mean of its divisors is an integer number (34558928544).

Almost surely, 2^{1100122210011} is an apocalyptic number.

1100122210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100122210011 is a deficient number, since it is larger than the sum of its proper divisors (558706360101).

1100122210011 is a wasteful number, since it uses less digits than its factorization.

1100122210011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146112 (or 146101 counting only the distinct ones).

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

The spelling of 1100122210011 in words is "one trillion, one hundred billion, one hundred twenty-two million, two hundred ten thousand, eleven".