1010101120101 has 12 divisors (see below), whose sum is σ = 1498468328812. Its totient is φ = 655200726336.

The previous prime is 1010101120057. The next prime is 1010101120109. The reversal of 1010101120101 is 1010211010101.

It can be written as a sum of positive squares in 2 ways, for example, as 729317708001 + 280783412100 = 854001^2 + 529890^2 .

It is not a de Polignac number, because 1010101120101 - 2¹¹ = 1010101118053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101120109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1516668016 + ... + 1516668681.

Almost surely, 2^{1010101120101} is an apocalyptic number.

It is an amenable number.

1010101120101 is a deficient number, since it is larger than the sum of its proper divisors (488367208711).

1010101120101 is a wasteful number, since it uses less digits than its factorization.

1010101120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033336740 (or 3033336737 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010101120101 its reverse (1010211010101), we get a palindrome (2020312130202).

The spelling of 1010101120101 in words is "one trillion, ten billion, one hundred one million, one hundred twenty thousand, one hundred one".