1001011121101 has 2 divisors, whose sum is σ = 1001011121102. Its totient is φ = 1001011121100.

The previous prime is 1001011121053. The next prime is 1001011121153. The reversal of 1001011121101 is 1011211101001.

1001011121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 703293567876 + 297717553225 = 838626^2 + 545635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001011121101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001011122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505560550 + 500505560551.

It is an arithmetic number, because the mean of its divisors is an integer number (500505560551).

Almost surely, 2^{1001011121101} is an apocalyptic number.

It is an amenable number.

1001011121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011121101 is an equidigital number, since it uses as much as digits as its factorization.

1001011121101 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 10.

Adding to 1001011121101 its reverse (1011211101001), we get a palindrome (2012222222102).

The spelling of 1001011121101 in words is "one trillion, one billion, eleven million, one hundred twenty-one thousand, one hundred one".