1011100101011 has 96 divisors (see below), whose sum is σ = 1449397006848. Its totient is φ = 692018933760.

The previous prime is 1011100101007. The next prime is 1011100101043. The reversal of 1011100101011 is 1101010011101.

1011100101011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011100101011 - 2² = 1011100101007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011100101011.

It is not an unprimeable number, because it can be changed into a prime (1011100100011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31087820 + ... + 31120326.

It is an arithmetic number, because the mean of its divisors is an integer number (15097885488).

Almost surely, 2^{1011100101011} is an apocalyptic number.

1011100101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011100101011 is a deficient number, since it is larger than the sum of its proper divisors (438296905837).

1011100101011 is a wasteful number, since it uses less digits than its factorization.

1011100101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32761 (or 32754 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011100101011 its reverse (1101010011101), we get a palindrome (2112110112112).

It can be divided in two parts, 1011100 and 101011, that added together give a palindrome (1112111).

The spelling of 1011100101011 in words is "one trillion, eleven billion, one hundred million, one hundred one thousand, eleven".