1100001022011 has 48 divisors (see below), whose sum is σ = 1671364880640. Its totient is φ = 722824028640.

The previous prime is 1100001021983. The next prime is 1100001022013. The reversal of 1100001022011 is 1102201000011.

It is a happy number.

It is not a de Polignac number, because 1100001022011 - 2¹¹ = 1100001019963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100001021984 and 1100001022002.

It is not an unprimeable number, because it can be changed into a prime (1100001022013) 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, 130652760 + ... + 130661178.

It is an arithmetic number, because the mean of its divisors is an integer number (34820101680).

Almost surely, 2^{1100001022011} is an apocalyptic number.

1100001022011 is a deficient number, since it is larger than the sum of its proper divisors (571363858629).

1100001022011 is an frugal number, since it uses more digits than its factorization.

1100001022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16078 (or 16066 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100001022011 its reverse (1102201000011), we get a palindrome (2202202022022).

The spelling of 1100001022011 in words is "one trillion, one hundred billion, one million, twenty-two thousand, eleven".