1010000120101 has 6 divisors (see below), whose sum is σ = 1174898098950. Its totient is φ = 865714388616.

The previous prime is 1010000120071. The next prime is 1010000120117. The reversal of 1010000120101 is 1010210000101.

It can be written as a sum of positive squares in only one way, i.e., 893223461025 + 116776659076 = 945105^2 + 341726^2 .

It is not a de Polignac number, because 1010000120101 - 2⁵ = 1010000120069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000120191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10306123626 + ... + 10306123723.

It is an arithmetic number, because the mean of its divisors is an integer number (195816349825).

Almost surely, 2^{1010000120101} is an apocalyptic number.

It is an amenable number.

1010000120101 is a deficient number, since it is larger than the sum of its proper divisors (164897978849).

1010000120101 is an equidigital number, since it uses as much as digits as its factorization.

1010000120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612247363 (or 20612247356 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010000120101 its reverse (1010210000101), we get a palindrome (2020210120202).

The spelling of 1010000120101 in words is "one trillion, ten billion, one hundred twenty thousand, one hundred one".