1011101002001 has 2 divisors, whose sum is σ = 1011101002002. Its totient is φ = 1011101002000.

The previous prime is 1011101001979. The next prime is 1011101002003. The reversal of 1011101002001 is 1002001011101.

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., 590968875025 + 420132126976 = 768745^2 + 648176^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011101002001 - 2¹⁴ = 1011100985617 is a prime.

Together with 1011101002003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011101002001.

It is not a weakly prime, because it can be changed into another prime (1011101002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550501000 + 505550501001.

It is an arithmetic number, because the mean of its divisors is an integer number (505550501001).

Almost surely, 2^{1011101002001} is an apocalyptic number.

It is an amenable number.

1011101002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101002001 is an equidigital number, since it uses as much as digits as its factorization.

1011101002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011101002001 its reverse (1002001011101), we get a palindrome (2013102013102).

The spelling of 1011101002001 in words is "one trillion, eleven billion, one hundred one million, two thousand, one".