1011100101 has 16 divisors (see below), whose sum is σ = 1475938368. Its totient is φ = 610601600.

The previous prime is 1011100091. The next prime is 1011100117. The reversal of 1011100101 is 1010011101.

It is a cyclic number.

It is not a de Polignac number, because 1011100101 - 2¹⁸ = 1010837957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45246 + ... + 63791.

It is an arithmetic number, because the mean of its divisors is an integer number (92246148).

Almost surely, 2^1011100101 is an apocalyptic number.

1011100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011100101 is a deficient number, since it is larger than the sum of its proper divisors (464838267).

1011100101 is a wasteful number, since it uses less digits than its factorization.

1011100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109332.

The product of its (nonzero) digits is 1, while the sum is 6.

The square root of 1011100101 is about 31797.8002541056. The cubic root of 1011100101 is about 1003.6864272218.

Adding to 1011100101 its reverse (1010011101), we get a palindrome (2021111202).

It can be divided in two parts, 10 and 11100101, that added together give a palindrome (11100111).

The spelling of 1011100101 in words is "one billion, eleven million, one hundred thousand, one hundred one".