1011101100001 has 2 divisors, whose sum is σ = 1011101100002. Its totient is φ = 1011101100000.

The previous prime is 1011101099933. The next prime is 1011101100007. The reversal of 1011101100001 is 1000011011101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 905017352976 + 106083747025 = 951324^2 + 325705^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011101100001 - 2¹³ = 1011101091809 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011101100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550550000 + 505550550001.

It is an arithmetic number, because the mean of its divisors is an integer number (505550550001).

Almost surely, 2^{1011101100001} is an apocalyptic number.

It is an amenable number.

1011101100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101100001 is an equidigital number, since it uses as much as digits as its factorization.

1011101100001 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 7.

Adding to 1011101100001 its reverse (1000011011101), we get a palindrome (2011112111102).

It can be divided in two parts, 1011101 and 100001, that multiplied together give a palindrome (101111111101).

The spelling of 1011101100001 in words is "one trillion, eleven billion, one hundred one million, one hundred thousand, one".