10101001000121 has 6 divisors (see below), whose sum is σ = 10559269477050. Its totient is φ = 9661827043088.

The previous prime is 10101001000061. The next prime is 10101001000127. The reversal of 10101001000121 is 12100010010101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10089904484521 + 11096515600 = 3176461^2 + 105340^2 .

It is not a de Polignac number, because 10101001000121 - 2³⁴ = 10083821130937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101001000099 and 10101001000108.

It is not an unprimeable number, because it can be changed into a prime (10101001000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9547259396 + ... + 9547260453.

It is an arithmetic number, because the mean of its divisors is an integer number (1759878246175).

Almost surely, 2^{10101001000121} is an apocalyptic number.

It is an amenable number.

10101001000121 is a deficient number, since it is larger than the sum of its proper divisors (458268476929).

10101001000121 is an equidigital number, since it uses as much as digits as its factorization.

10101001000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19094519895 (or 19094519872 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10101001000121 its reverse (12100010010101), we get a palindrome (22201011010222).

The spelling of 10101001000121 in words is "ten trillion, one hundred one billion, one million, one hundred twenty-one", and thus it is an aban number.