1011001101 has 48 divisors (see below), whose sum is σ = 1579580352. Its totient is φ = 572746240.

The previous prime is 1011001091. The next prime is 1011001151.

1011001101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1011001101 - 2⁹ = 1011000589 is a prime.

1011001101 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 1011001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011001151) 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, 1067110 + ... + 1068056.

It is an arithmetic number, because the mean of its divisors is an integer number (32907924).

Almost surely, 2^1011001101 is an apocalyptic number.

1011001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011001101 is a deficient number, since it is larger than the sum of its proper divisors (568579251).

1011001101 is a wasteful number, since it uses less digits than its factorization.

1011001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

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

The square root of 1011001101 is about 31796.2435045400. The cubic root of 1011001101 is about 1003.6536681180.

It can be divided in two parts, 101100 and 1101, that added together give a palindrome (102201).

The spelling of 1011001101 in words is "one billion, eleven million, one thousand, one hundred one".