100010111011101 has 24 divisors (see below), whose sum is σ = 148363957343264. Its totient is φ = 64871156867040.

The previous prime is 100010111011051. The next prime is 100010111011121. The reversal of 100010111011101 is 101110111010001.

It is not a de Polignac number, because 100010111011101 - 2⁷ = 100010111010973 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 (100010111011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110661066 + ... + 111561156.

Almost surely, 2^{100010111011101} is an apocalyptic number.

It is an amenable number.

100010111011101 is a deficient number, since it is larger than the sum of its proper divisors (48353846332163).

100010111011101 is a wasteful number, since it uses less digits than its factorization.

100010111011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233801 (or 1233798 counting only the distinct ones).

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

Adding to 100010111011101 its reverse (101110111010001), we get a palindrome (201120222021102).

It can be divided in two parts, 100010 and 111011101, that added together give a palindrome (111111111).

The spelling of 100010111011101 in words is "one hundred trillion, ten billion, one hundred eleven million, eleven thousand, one hundred one".