1010120101101 has 12 divisors (see below), whose sum is σ = 1498496486812. Its totient is φ = 655213038336.

The previous prime is 1010120101099. The next prime is 1010120101129. The reversal of 1010120101101 is 1011010210101.

It can be written as a sum of positive squares in 2 ways, for example, as 576035460900 + 434084640201 = 758970^2 + 658851^2 .

It is not a de Polignac number, because 1010120101101 - 2¹ = 1010120101099 is a prime.

It is a super-2 number, since 2×1010120101101² (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010120101801) 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, 1516696516 + ... + 1516697181.

Almost surely, 2^{1010120101101} is an apocalyptic number.

It is an amenable number.

1010120101101 is a deficient number, since it is larger than the sum of its proper divisors (488376385711).

1010120101101 is a wasteful number, since it uses less digits than its factorization.

1010120101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033393740 (or 3033393737 counting only the distinct ones).

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

Adding to 1010120101101 its reverse (1011010210101), we get a palindrome (2021130311202).

The spelling of 1010120101101 in words is "one trillion, ten billion, one hundred twenty million, one hundred one thousand, one hundred one".