100010011011101 has 8 divisors (see below), whose sum is σ = 102120011253624. Its totient is φ = 97920010771200.

The previous prime is 100010011011073. The next prime is 100010011011109. The reversal of 100010011011101 is 101110110010001.

It can be written as a sum of positive squares in 4 ways, for example, as 40908879960025 + 59101131051076 = 6396005^2 + 7687726^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010011011101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010011011109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4999990550 + ... + 5000010551.

It is an arithmetic number, because the mean of its divisors is an integer number (12765001406703).

Almost surely, 2^{100010011011101} is an apocalyptic number.

It is an amenable number.

100010011011101 is a deficient number, since it is larger than the sum of its proper divisors (2110000242523).

100010011011101 is a wasteful number, since it uses less digits than its factorization.

100010011011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000001311.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100010011011101 its reverse (101110110010001), we get a palindrome (201120121021102).

The spelling of 100010011011101 in words is "one hundred trillion, ten billion, eleven million, eleven thousand, one hundred one".