1031121030101 has 2 divisors, whose sum is σ = 1031121030102. Its totient is φ = 1031121030100.

The previous prime is 1031121030091. The next prime is 1031121030169. The reversal of 1031121030101 is 1010301211301.

It is a happy number.

1031121030101 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., 1026977533201 + 4143496900 = 1013399^2 + 64370^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031121030101 - 2¹⁴ = 1031121013717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031121030001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515560515050 + 515560515051.

It is an arithmetic number, because the mean of its divisors is an integer number (515560515051).

Almost surely, 2^{1031121030101} is an apocalyptic number.

It is an amenable number.

1031121030101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031121030101 is an equidigital number, since it uses as much as digits as its factorization.

1031121030101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1031121030101 its reverse (1010301211301), we get a palindrome (2041422241402).

The spelling of 1031121030101 in words is "one trillion, thirty-one billion, one hundred twenty-one million, thirty thousand, one hundred one".