100101001101 has 16 divisors (see below), whose sum is σ = 134190120960. Its totient is φ = 66373063280.

The previous prime is 100101001067. The next prime is 100101001103. The reversal of 100101001101 is 101100101001.

It is a cyclic number.

It is not a de Polignac number, because 100101001101 - 2¹⁴ = 100100984717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101001103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4402480 + ... + 4425158.

It is an arithmetic number, because the mean of its divisors is an integer number (8386882560).

Almost surely, 2^100101001101 is an apocalyptic number.

It is an amenable number.

100101001101 is a deficient number, since it is larger than the sum of its proper divisors (34089119859).

100101001101 is a wasteful number, since it uses less digits than its factorization.

100101001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30576.

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

Adding to 100101001101 its reverse (101100101001), we get a palindrome (201201102102).

It can be divided in two parts, 100101001 and 101, that multiplied together give a palindrome (10110201101).

The spelling of 100101001101 in words is "one hundred billion, one hundred one million, one thousand, one hundred one".