1010111010101 has 2 divisors, whose sum is σ = 1010111010102. Its totient is φ = 1010111010100.

The previous prime is 1010111010071. The next prime is 1010111010109. The reversal of 1010111010101 is 1010101110101.

It is an a-pointer prime, because the next prime (1010111010109) can be obtained adding 1010111010101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 995415267025 + 14695743076 = 997705^2 + 121226^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010111010101 - 2¹⁸ = 1010110747957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010111010109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055505050 + 505055505051.

It is an arithmetic number, because the mean of its divisors is an integer number (505055505051).

Almost surely, 2^{1010111010101} is an apocalyptic number.

It is an amenable number.

1010111010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111010101 is an equidigital number, since it uses as much as digits as its factorization.

1010111010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1010111010101 its reverse (1010101110101), we get a palindrome (2020212120202).

The spelling of 1010111010101 in words is "one trillion, ten billion, one hundred eleven million, ten thousand, one hundred one".