101001001101 has 128 divisors (see below), whose sum is σ = 184575283200. Its totient is φ = 47434844160.

The previous prime is 101001001093. The next prime is 101001001121. The reversal of 101001001101 is 101100100101.

It is not a de Polignac number, because 101001001101 - 2³ = 101001001093 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101001001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29130370 + ... + 29133836.

It is an arithmetic number, because the mean of its divisors is an integer number (1441994400).

Almost surely, 2^101001001101 is an apocalyptic number.

101001001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001001101 is a deficient number, since it is larger than the sum of its proper divisors (83574282099).

101001001101 is a wasteful number, since it uses less digits than its factorization.

101001001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699.

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

Adding to 101001001101 its reverse (101100100101), we get a palindrome (202101101202).

The spelling of 101001001101 in words is "one hundred one billion, one million, one thousand, one hundred one".