101111000001101 has 2 divisors, whose sum is σ = 101111000001102. Its totient is φ = 101111000001100.

The previous prime is 101111000001091. The next prime is 101111000001119. The reversal of 101111000001101 is 101100000111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72614343174025 + 28496656827076 = 8521405^2 + 5338226^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111000001101 - 2²⁶ = 101110932892237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111000001001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500000550 + 50555500000551.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500000551).

Almost surely, 2^{101111000001101} is an apocalyptic number.

It is an amenable number.

101111000001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000001101 is an equidigital number, since it uses as much as digits as its factorization.

101111000001101 is an evil number, because the sum of its binary digits is even.

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

Adding to 101111000001101 its reverse (101100000111101), we get a palindrome (202211000112202).

It can be divided in two parts, 10 and 1111000001101, that added together give a palindrome (1111000001111).

The spelling of 101111000001101 in words is "one hundred one trillion, one hundred eleven billion, one thousand, one hundred one".