100010111111101 has 8 divisors (see below), whose sum is σ = 105273909407520. Its totient is φ = 94746323638512.

The previous prime is 100010111111051. The next prime is 100010111111147. The reversal of 100010111111101 is 101111111010001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010111111101 - 2²³ = 100010102722493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010111151101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22082706 + ... + 26223388.

It is an arithmetic number, because the mean of its divisors is an integer number (13159238675940).

Almost surely, 2^{100010111111101} is an apocalyptic number.

It is an amenable number.

100010111111101 is a deficient number, since it is larger than the sum of its proper divisors (5263798296419).

100010111111101 is a wasteful number, since it uses less digits than its factorization.

100010111111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411915.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100010111111101 its reverse (101111111010001), we get a palindrome (201121222121102).

The spelling of 100010111111101 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred eleven thousand, one hundred one".