101101101112001 has 2 divisors, whose sum is σ = 101101101112002. Its totient is φ = 101101101112000.

The previous prime is 101101101111971. The next prime is 101101101112021. The reversal of 101101101112001 is 100211101101101.

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., 96308609553025 + 4792491558976 = 9813695^2 + 2189176^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101101112001 - 2¹⁸ = 101101100849857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101101112021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550556000 + 50550550556001.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550556001).

Almost surely, 2^{101101101112001} is an apocalyptic number.

It is an amenable number.

101101101112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101101112001 is an equidigital number, since it uses as much as digits as its factorization.

101101101112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101101101112001 its reverse (100211101101101), we get a palindrome (201312202213102).

The spelling of 101101101112001 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, one".