100101111011101 has 2 divisors, whose sum is σ = 100101111011102. Its totient is φ = 100101111011100.

The previous prime is 100101111011089. The next prime is 100101111011113. The reversal of 100101111011101 is 101110111101001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (100101111011089) and next prime (100101111011113).

It can be written as a sum of positive squares in only one way, i.e., 54368487503001 + 45732623508100 = 7373499^2 + 6762590^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101111011101 - 2¹³ = 100101111002909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101111011141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050555505550 + 50050555505551.

It is an arithmetic number, because the mean of its divisors is an integer number (50050555505551).

Almost surely, 2^{100101111011101} is an apocalyptic number.

It is an amenable number.

100101111011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101111011101 is an equidigital number, since it uses as much as digits as its factorization.

100101111011101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100101111011101 its reverse (101110111101001), we get a palindrome (201211222112102).

The spelling of 100101111011101 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, eleven thousand, one hundred one".