100101111001101 has 18 divisors (see below), whose sum is σ = 168197104880142. Its totient is φ = 57200634857520.

The previous prime is 100101111001043. The next prime is 100101111001127. The reversal of 100101111001101 is 101100111101001.

It can be written as a sum of positive squares in only one way, i.e., 73493774268201 + 26607336732900 = 8572851^2 + 5158230^2 .

It is not a de Polignac number, because 100101111001101 - 2¹¹ = 100101110999053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111001301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113493322690 + ... + 113493323571.

Almost surely, 2^{100101111001101} is an apocalyptic number.

It is an amenable number.

100101111001101 is a deficient number, since it is larger than the sum of its proper divisors (68095993879041).

100101111001101 is a wasteful number, since it uses less digits than its factorization.

100101111001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226986646281 (or 226986646271 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100101111001101 its reverse (101100111101001), we get a palindrome (201201222102102).

The spelling of 100101111001101 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one thousand, one hundred one".