100010112001101 has 32 divisors (see below), whose sum is σ = 149953790085120. Its totient is φ = 65867670072432.

The previous prime is 100010112001081. The next prime is 100010112001123. The reversal of 100010112001101 is 101100211010001.

It is not a de Polignac number, because 100010112001101 - 2¹³ = 100010111992909 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 (100010112001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60604926 + ... + 62233248.

It is an arithmetic number, because the mean of its divisors is an integer number (4686055940160).

Almost surely, 2^{100010112001101} is an apocalyptic number.

It is an amenable number.

100010112001101 is a deficient number, since it is larger than the sum of its proper divisors (49943678084019).

100010112001101 is a wasteful number, since it uses less digits than its factorization.

100010112001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655822 (or 1655816 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010112001101 its reverse (101100211010001), we get a palindrome (201110323011102).

The spelling of 100010112001101 in words is "one hundred trillion, ten billion, one hundred twelve million, one thousand, one hundred one".