100011010111101 has 12 divisors (see below), whose sum is σ = 148364681666812. Its totient is φ = 64872006558336.

The previous prime is 100011010111081. The next prime is 100011010111121. The reversal of 100011010111101 is 101111010110001.

It is an interprime number because it is at equal distance from previous prime (100011010111081) and next prime (100011010111121).

It can be written as a sum of positive squares in 2 ways, for example, as 73166228483076 + 26844781628025 = 8553726^2 + 5181195^2 .

It is not a de Polignac number, because 100011010111101 - 2⁹ = 100011010110589 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011010111121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150166681516 + ... + 150166682181.

Almost surely, 2^{100011010111101} is an apocalyptic number.

It is an amenable number.

100011010111101 is a deficient number, since it is larger than the sum of its proper divisors (48353671555711).

100011010111101 is a wasteful number, since it uses less digits than its factorization.

100011010111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300333363740 (or 300333363737 counting only the distinct ones).

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

Adding to 100011010111101 its reverse (101111010110001), we get a palindrome (201122020221102).

The spelling of 100011010111101 in words is "one hundred trillion, eleven billion, ten million, one hundred eleven thousand, one hundred one".