11001011012101 has 24 divisors (see below), whose sum is σ = 12482607110400. Its totient is φ = 9677904403200.

The previous prime is 11001011012029. The next prime is 11001011012111. The reversal of 11001011012101 is 10121011010011.

It is not a de Polignac number, because 11001011012101 - 2⁹ = 11001011011589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001011012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122271390 + ... + 122361328.

It is an arithmetic number, because the mean of its divisors is an integer number (520108629600).

Almost surely, 2^{11001011012101} is an apocalyptic number.

11001011012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001011012101 is a deficient number, since it is larger than the sum of its proper divisors (1481596098299).

11001011012101 is a wasteful number, since it uses less digits than its factorization.

11001011012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122601 (or 122590 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11001011012101 its reverse (10121011010011), we get a palindrome (21122022022112).

It can be divided in two parts, 110010 and 11012101, that added together give a palindrome (11122111).

The spelling of 11001011012101 in words is "eleven trillion, one billion, eleven million, twelve thousand, one hundred one".