1011100012011 has 16 divisors (see below), whose sum is σ = 1529796710400. Its totient is φ = 659724829704.

The previous prime is 1011100011983. The next prime is 1011100012031. The reversal of 1011100012011 is 1102100011101.

It is not a de Polignac number, because 1011100012011 - 2²⁶ = 1011032903147 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 = 1011100011984 and 1011100012002.

It is not an unprimeable number, because it can be changed into a prime (1011100012031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398383291 + ... + 398385828.

It is an arithmetic number, because the mean of its divisors is an integer number (95612294400).

Almost surely, 2^{1011100012011} is an apocalyptic number.

1011100012011 is a deficient number, since it is larger than the sum of its proper divisors (518696698389).

1011100012011 is an equidigital number, since it uses as much as digits as its factorization.

1011100012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796769175 (or 796769169 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011100012011 its reverse (1102100011101), we get a palindrome (2113200023112).

The spelling of 1011100012011 in words is "one trillion, eleven billion, one hundred million, twelve thousand, eleven".