1001011122101 has 2 divisors, whose sum is σ = 1001011122102. Its totient is φ = 1001011122100.

The previous prime is 1001011122091. The next prime is 1001011122121. The reversal of 1001011122101 is 1012211101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 876947967025 + 124063155076 = 936455^2 + 352226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001011122101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001011122121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505561050 + 500505561051.

It is an arithmetic number, because the mean of its divisors is an integer number (500505561051).

Almost surely, 2^{1001011122101} is an apocalyptic number.

It is an amenable number.

1001011122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011122101 is an equidigital number, since it uses as much as digits as its factorization.

1001011122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001011122101 its reverse (1012211101001), we get a palindrome (2013222223102).

The spelling of 1001011122101 in words is "one trillion, one billion, eleven million, one hundred twenty-two thousand, one hundred one".