100000101011101 has 16 divisors (see below), whose sum is σ = 100449770803200. Its totient is φ = 99551464291648.

The previous prime is 100000101011081. The next prime is 100000101011113. The reversal of 100000101011101 is 101110101000001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100000101011101 - 2¹⁵ = 100000100978333 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 (100000101011131) 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 15 ways as a sum of consecutive naturals, for example, 2066819556 + ... + 2066867938.

It is an arithmetic number, because the mean of its divisors is an integer number (6278110675200).

Almost surely, 2^{100000101011101} is an apocalyptic number.

It is an amenable number.

100000101011101 is a deficient number, since it is larger than the sum of its proper divisors (449669792099).

100000101011101 is an equidigital number, since it uses as much as digits as its factorization.

100000101011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58868.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100000101011101 its reverse (101110101000001), we get a palindrome (201110202011102).

It can be divided in two parts, 100000 and 101011101, that added together give a palindrome (101111101).

The spelling of 100000101011101 in words is "one hundred trillion, one hundred one million, eleven thousand, one hundred one".